Asymptotic and Oscillatory Behaviour of Third Order Non-linear Differential Equations with Canonical Operator and Mixed Neutral Terms
This paper deals with the asymptotic and oscillatory behaviour of third-order non-linear differential equations with mixed non-linear neutral terms and a canonical operator. The results are obtained via utilising integral conditions as well as comparison theorems with the oscillatory properties of f...
Saved in:
| Published in | Qualitative theory of dynamical systems Vol. 22; no. 1 |
|---|---|
| Main Authors | , , , |
| Format | Journal Article |
| Language | English |
| Published |
Cham
Springer International Publishing
01.03.2023
Springer Nature B.V |
| Subjects | |
| Online Access | Get full text |
| ISSN | 1575-5460 1662-3592 |
| DOI | 10.1007/s12346-022-00715-6 |
Cover
| Abstract | This paper deals with the asymptotic and oscillatory behaviour of third-order non-linear differential equations with mixed non-linear neutral terms and a canonical operator. The results are obtained via utilising integral conditions as well as comparison theorems with the oscillatory properties of first-order advanced and/or delay differential equations. The proposed theorems improve, extend, and simplify existing ones in the literature. The results are illustrated by two numerical examples. |
|---|---|
| AbstractList | This paper deals with the asymptotic and oscillatory behaviour of third-order non-linear differential equations with mixed non-linear neutral terms and a canonical operator. The results are obtained via utilising integral conditions as well as comparison theorems with the oscillatory properties of first-order advanced and/or delay differential equations. The proposed theorems improve, extend, and simplify existing ones in the literature. The results are illustrated by two numerical examples. |
| ArticleNumber | 15 |
| Author | Alzabut, J. Chhatria, G. N. Grace, S. R. Santra, S. S. |
| Author_xml | – sequence: 1 givenname: J. surname: Alzabut fullname: Alzabut, J. organization: Department of Mathematics and Sciences, Prince Sultan University, Department of Industrial Engineering, OSTİM Technical University – sequence: 2 givenname: S. R. surname: Grace fullname: Grace, S. R. organization: Department of Engineering Mathematics, Faculty of Engineering, Cairo University – sequence: 3 givenname: S. S. surname: Santra fullname: Santra, S. S. email: shyam01.math@gmail.com, shyamsundar@ddn.upes.ac.in organization: Department of Mathematics, JIS College of Engineering, Department of Mathematics, Applied Science Cluster, University of Petroleum and Energy Studies (UPES) – sequence: 4 givenname: G. N. surname: Chhatria fullname: Chhatria, G. N. organization: Department of Mathematics, Sambalpur University |
| BookMark | eNp9UMtOAyEUJUYTnz_gisQ1ymNgZpZan4naTV0TZO5YzBQqULUf4H9LWxMTF6645Jxz7zlnH2374AGhY0ZPGaX1WWJcVIpQzkn5MknUFtpjSnEiZMu3yyxrSWSl6C7aT-mVUsVrwffQ13lazuY5ZGex8R0eJ-uGweQQl_gCpubdhUXEoceTqYsFjh1E_Bg8GZwHE_Gl63uI4LMzA756W5jsgk_4w-UpHpni0tkCjOcQVzvXJx7cJ3T4ERY5FmgCcZYO0U5vhgRHP-8Berq-moxuyf345m50fk-sYG0mrFdC8BKSs6bhhlcggAphGFCpZGdk2z43Fau6zjCjRMss8B5sDayl0FgQB-hks3cew9sCUtavJZ4vJzWvZSV5oypVWM2GZWNIKUKvrcvrYMWxGzSjelW63pSuix-9Ll2vpPyPdB7dzMTl_yKxEaVC9i8Qf139o_oG9FKXrA |
| CitedBy_id | crossref_primary_10_14232_ejqtde_2024_1_70 crossref_primary_10_1007_s12591_023_00674_7 crossref_primary_10_2478_amns_2023_1_00427 crossref_primary_10_3390_math12182847 crossref_primary_10_3390_sym16070817 crossref_primary_10_3934_math_2023724 crossref_primary_10_3934_math_2023834 crossref_primary_10_3934_math_2024802 crossref_primary_10_3390_math12081189 crossref_primary_10_1007_s12346_024_00961_w crossref_primary_10_3390_axioms12040325 crossref_primary_10_1007_s00009_024_02728_8 crossref_primary_10_3934_math_20231241 |
| Cites_doi | 10.5486/PMD.2018.8205 10.1016/j.aml.2015.12.010 10.1007/978-81-322-1614-8 10.1080/16583655.2019.1622847 10.1007/978-1-4612-4342-7 10.32917/hmj/1368217950 10.1186/s13662-016-0902-7 10.1007/s40840-021-01079-x 10.2478/s11533-010-0072-x 10.4134/CKMS.2004.19.2.307 10.1155/2011/857860 10.1515/ms-2017-0335 10.1007/978-94-017-2515-6 10.1016/S0895-7177(04)90539-0 10.7494/OpMath.2017.37.6.839 10.3390/fractalfract6090466 10.1186/s13662-016-0771-0 10.1007/978-94-015-9401-1 10.14232/ejqtde.2021.1.46 10.1186/s13662-020-03156-0 10.1016/j.camwa.2011.11.042 10.1016/j.aml.2020.106293 10.1007/978-94-011-1808-8 10.1016/0022-0396(82)90029-8 10.1007/BF01223686 10.1016/j.aml.2018.08.016 10.1017/S0017089509990188 10.1016/j.mcm.2010.02.011 10.1016/j.na.2009.01.070 10.22436/jmcs.028.03.07 10.1090/S0002-9939-1980-0548086-5 |
| ContentType | Journal Article |
| Copyright | The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
| Copyright_xml | – notice: The Author(s), under exclusive licence to Springer Nature Switzerland AG 2022. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law. |
| DBID | AAYXX CITATION |
| DOI | 10.1007/s12346-022-00715-6 |
| DatabaseName | CrossRef |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Mathematics |
| EISSN | 1662-3592 |
| ExternalDocumentID | 10_1007_s12346_022_00715_6 |
| GroupedDBID | -5D -5G -BR -EM -Y2 -~C .VR 06D 0R~ 0VY 123 1N0 203 29P 2J2 2JN 2JY 2KG 2KM 2LR 2VQ 30V 3J0 4.4 406 408 40D 40E 5VS 67Z 6NX 8TC 95- 95. 95~ 96X AAAVM AABHQ AACDK AAHNG AAIAL AAJBT AAJKR AANZL AARHV AARTL AASML AATNV AATVU AAUYE AAWCG AAYIU AAYQN AAYTO AAYZH ABAKF ABDZT ABECU ABFTV ABHQN ABJNI ABJOX ABKCH ABMQK ABNWP ABQBU ABSXP ABTEG ABTHY ABTKH ABTMW ABULA ABWNU ABXPI ACAOD ACBXY ACDTI ACGFS ACHSB ACHXU ACIWK ACKNC ACMDZ ACMLO ACOKC ACPIV ACSNA ACZOJ ADHHG ADHIR ADINQ ADKNI ADKPE ADRFC ADTPH ADURQ ADYFF ADZKW AEBTG AEFQL AEGAL AEGNC AEJHL AEJRE AEMSY AENEX AEOHA AEPYU AESKC AETLH AEVLU AEXYK AFBBN AFGCZ AFLOW AFQWF AFWTZ AFZKB AGAYW AGDGC AGGDS AGJBK AGMZJ AGQEE AGQMX AGRTI AGWIL AGWZB AGYKE AHAVH AHBYD AHKAY AHSBF AHYZX AIAKS AIGIU AIIXL AILAN AITGF AJBLW AJRNO AJZVZ ALMA_UNASSIGNED_HOLDINGS ALWAN AMKLP AMXSW AMYLF AMYQR AOCGG ARMRJ ASPBG AVWKF AXYYD AYJHY AZFZN B-. BA0 BAPOH BDATZ BGNMA C1A CAG COF CS3 CSCUP DC1 DDRTE DNIVK DPUIP EBLON EBS EIOEI EJD ESBYG FERAY FFXSO FIGPU FINBP FNLPD FRRFC FSGXE FWDCC GGCAI GGRSB GJIRD GNWQR GQ6 GQ7 H13 HF~ HG5 HG6 HMJXF HRMNR HZ~ IKXTQ IWAJR IXC IXD I~X I~Z J-C J0Z J9A JBSCW JZLTJ KOV LLZTM M4Y MA- NPVJJ NQJWS NU0 O9- O93 O9J P2P P9R PF0 PT4 PT5 QOS R89 R9I RIG RNI ROL RSV RZK S16 S1Z S27 S3B SAP SDH SHX SISQX SJYHP SMT SNE SNPRN SNX SOHCF SOJ SPISZ SRMVM SSLCW STPWE SZN T13 TSG TSK TUC U2A UG4 UOJIU UTJUX UZXMN VC2 VFIZW W48 WK8 YLTOR Z45 ZMTXR ~A9 AAPKM AAYXX ABBRH ABDBE ABFSG ACSTC AEZWR AFDZB AFHIU AFOHR AHPBZ AHWEU AIXLP ATHPR AYFIA CITATION ABRTQ |
| ID | FETCH-LOGICAL-c319t-1f633202221882a24e3e033a1e0565da599b8414dda1a6391ce2fec7e190e8ce3 |
| IEDL.DBID | AGYKE |
| ISSN | 1575-5460 |
| IngestDate | Fri Jul 25 11:09:32 EDT 2025 Thu Apr 24 22:51:21 EDT 2025 Tue Jul 01 04:04:59 EDT 2025 Fri Feb 21 02:44:08 EST 2025 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 1 |
| Keywords | Mixed neutral terms Non-linear differential equations Canonical operator 34N05 Oscillation Asymptotic behavior 34K11 |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c319t-1f633202221882a24e3e033a1e0565da599b8414dda1a6391ce2fec7e190e8ce3 |
| Notes | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 14 |
| PQID | 2754528646 |
| PQPubID | 2044188 |
| ParticipantIDs | proquest_journals_2754528646 crossref_citationtrail_10_1007_s12346_022_00715_6 crossref_primary_10_1007_s12346_022_00715_6 springer_journals_10_1007_s12346_022_00715_6 |
| ProviderPackageCode | CITATION AAYXX |
| PublicationCentury | 2000 |
| PublicationDate | 2023-03-01 |
| PublicationDateYYYYMMDD | 2023-03-01 |
| PublicationDate_xml | – month: 03 year: 2023 text: 2023-03-01 day: 01 |
| PublicationDecade | 2020 |
| PublicationPlace | Cham |
| PublicationPlace_xml | – name: Cham – name: Heidelberg |
| PublicationTitle | Qualitative theory of dynamical systems |
| PublicationTitleAbbrev | Qual. Theory Dyn. Syst |
| PublicationYear | 2023 |
| Publisher | Springer International Publishing Springer Nature B.V |
| Publisher_xml | – name: Springer International Publishing – name: Springer Nature B.V |
| References | HardyGHLittlewoodIEPolyaGInequalities1959CambridgeCambridge University Press60.0169.01 PhilosCGOn the existence of nonoscillatory solutions tending to zero at 1 for differential equations with positive delaysArch. Math. (Basel)1981361681780463.34050 BaculíkováBDžurinaJOscillation of third-order neutral differential equationsMath. Comput. Model.2010522152261201.34097 AgarwalRPGraceSRDonthaSOn the oscillation of certain functional differential equationsCommun. Korean Math. Soc.2004193073191101.34325 GraefJRGraceSRTunçEOscillation of even-order advanced functional differential equationsPubl. Math. Debrecen.2018934454551424.34225 ErbeLHKongQZhangBGOscillation Theory for Functional Differential Equations1995New YorkMarcel Dekker Inc.0821.34067 GraceSRJadlovskáIOscillatory behavior of odd-order nonlinear differential equations with a nonpositive Neutral term DynSyst. Appl.201827125136 KitamuraYKusanoTOscillation of first-order nonlinear differential equations with deviating argumentsProc. Am. Math. Soc.19807864680433.34051 DžurinaJKotorováRProperties of the third order trinomial differential equations with delay argumentNonlinear Anal.200971199520021173.34348 DošláZLiškaPComparison theorems for third-order neutral differential equationsElectron. J. Differ. Equ.20162016381333.34106 FinizioNLadasGOrdinary Differential Equations with Modern Applications19883BelmontWadsworth Pub. Co.0422.34001 HaleJKLunelSMVIntroduction to Functional Differential Equations1993New YorkSpringer0787.34002 ThandapaniEEl-SheikhMAASallamRSalemSOn the oscillatory behavior of third order differential equations with a sublinear neutral termMath. Slovaca.2020709510607289627 AgarwalRPGraceSROscillation theorems for certain functional differential equations of higher orderMath. Comput. Model.200439118511941061.34047 KarpuzBÖcalanÖÖztūrkSComparison theorems on the oscillation and asymptotic behaviour of higher-order neutral differential equationsGlasgow Math. J.2010521071141216.34073 DošláZLiškaPOscillation of third-order nonlinear neutral differential equationsAppl. Math. Let.20165642481335.34102 AgarwalRPGraceSRO’ReganDOscillation Theory for Difference and Functional Differential Equations2000DordrechtKluwer Academic Publishers0954.34002 BaculíkováBDžurinaJOscillation theorems for higher order neutral differential equationsAppl. Math. Comput.2012219376937781311.34163 FengLHanZoscillation of a class of third-order neutral differential equations with noncanonical operatorsBull. Malays. Math. Sci. Soc.202144251925301480.34091 BainovDDMishevDPOscillation Theory of Neutral Differential Equations with Delay1991BristolAdam Hilger Ltd.0747.34037 AlzabutJGraceSRChhatriaGNNew oscillation results for higher order nonlinear differential equations with a nonlinear neutral termsJ. Math. Computer Sci.202328294305 AgarwalRPGraceSRO’ReganDOscillation Theory for Second Order Linear, Half-Linear. Superlinear and Sublinear Dynamic Equations2002DordrechtKluwer Academic Publishers1073.34002 GraceSRGraefJREl-BeltagyMAOn the oscillation of third order neutral delay dynamic equations on time scalesComput. Math. Appl.2012637757821247.34139 ThandapaniELiTOn the oscillation of third-order quasi-linear neutral functional differential equationsArch. Math. (Brno)2011471811991249.34194 PadhiSPatiSTheory of Third-Order Differential Equations2014New DelhiSpringer1308.34002 KoplatadzeRGChanturiyaTAOscillating and monotone solutions of first-order differential equations with deviating argument(in Russian)Differ. Uravn.198218146314650496.34044 KiguradzeITChanturiaTAAsymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations1993DordrechtKluwer Academic Publishers ChatzarakisGESrinivasanRThandapaniEOscillation results for third-order quasi-linear Emden-Fowler differential equations with unbounded neutral coefficientsTatra Mt. Math. Publ.2021801141486.34128 DžurinaJGraceSRJadlovskáIOn nonexistence of Kneser solutions of third-order neutral delay differential equationsAppl. Math. Let.2019881932001408.34048 JiangYJiangCLiTOscillatory behavior of third-order nonlinear neutral delay differential equationsAdv. Differ. Equ.201620161711419.34173 LiTRogovchenkoYVOn the asymptotic behavior of solutions to a class of third-order nonlinear neutral differential equationsAppl. Math. Lett.20201051062931436.34067 SakerSHAlzabutJMukheimerAOn the oscillatory behavior for a certain class of third order nonlinear delay difference equationsElectron. J. Qual. Theory Differ. Equ.20102010671208.39019 ÖzdemirOKayaŞComparison theorems on the oscillation of third-order functional differential equations with mixed deviating arguments in neutral termDiffer. Equ. Appl.20221417301486.34130 TunçEŞahinSGraefJRPinelasSNew oscillation criteria for third-order differential equations with bounded and unbounded neutral coefficientsElectron. J. Qual. Theory Differ. Equ.2021461131488.34373 AlzabutJAgarwalRPGraceSRJonnalagaddaJMOscillation results for solutions of fractional-order differential equationsFractal Fract.20226466 AgarwalRPBohnerMLiTZhangCA new approach in the study of oscillatory behaviour of even-order neutral delay differential equationsAppl. Math. Comput.20132257877941334.34147 GraefJRSakerSHOscillation theory of third-order nonlinear functional differential equationsHiroshima Math. J.20134349721272.34092 LadasGStavroulakisIPOscillations caused by several retarded and advanced argumentsJ. Differ. Equ.1982441341520452.34058 AlzabutJBohnerMGraceSROscillation of nonlinear third-order difference equations with mixed neutral termsAdv. Differ. Equ.2021202131485.39020 GraefJRBeldjerdDRemiliMOn the stability, boundedness, and square integrability of solutions of third order neutral delay differential equationsMath. J. Okayama Univ.2021631141459.34169 ChatzarakisGGraceSRThird-order nonlinear differential equations with nonlinear neutral termsFunct. Differ. Equ.2020273131472.34128 GraceSRGraefJRTunçEOscillatory behaviour of third order nonlinear differential equations with a nonlinear nonpositive neutral termJ. Taibah Univ. Sci.201913704710 BaculíkováBDžurinaJOn the asymptotic behavior of a class of third order nonlinear neutral differential equationsCent. Eur. J. Math.20108109111031221.34173 GraefJRTunçEGraceSROscillatory and asymptotic behavior of a third-order nonlinear neutral Differential equationOpusc. Math.2017378398521403.34050 BaculíkováBProperties of third-order nonlinear functional differential equations with mixed argumentsAbstr. Appl. Anal.201120118578601217.34109 RP Agarwal (715_CR4) 2004; 39 JR Graef (715_CR28) 2018; 93 E Thandapani (715_CR43) 2011; 47 JK Hale (715_CR30) 1993 O Özdemir (715_CR39) 2022; 14 JR Graef (715_CR29) 2021; 63 SR Grace (715_CR23) 2012; 63 G Ladas (715_CR37) 1982; 44 IT Kiguradze (715_CR34) 1993 JR Graef (715_CR27) 2017; 37 RP Agarwal (715_CR6) 2013; 225 B Karpuz (715_CR33) 2010; 52 T Li (715_CR38) 2020; 105 RP Agarwal (715_CR1) 2000 B Baculíková (715_CR10) 2011; 2011 B Baculíková (715_CR11) 2010; 52 DD Bainov (715_CR9) 1991 S Padhi (715_CR40) 2014 CG Philos (715_CR41) 1981; 36 J Džurina (715_CR18) 2009; 71 Z Došlá (715_CR16) 2016; 2016 RG Koplatadze (715_CR36) 1982; 18 N Finizio (715_CR22) 1988 GE Chatzarakis (715_CR15) 2021; 80 LH Erbe (715_CR20) 1995 G Chatzarakis (715_CR14) 2020; 27 Z Došlá (715_CR17) 2016; 56 E Tunç (715_CR45) 2021; 46 L Feng (715_CR21) 2021; 44 B Baculíková (715_CR13) 2012; 219 RP Agarwal (715_CR5) 2004; 19 B Baculíková (715_CR12) 2010; 8 J Alzabut (715_CR7) 2021; 2021 JR Graef (715_CR26) 2013; 43 Y Kitamura (715_CR35) 1980; 78 SR Grace (715_CR24) 2019; 13 J Alzabut (715_CR3) 2022; 6 GH Hardy (715_CR31) 1959 Y Jiang (715_CR32) 2016; 2016 J Alzabut (715_CR8) 2023; 28 E Thandapani (715_CR44) 2020; 70 SR Grace (715_CR25) 2018; 27 RP Agarwal (715_CR2) 2002 SH Saker (715_CR42) 2010; 2010 J Džurina (715_CR19) 2019; 88 |
| References_xml | – reference: AlzabutJBohnerMGraceSROscillation of nonlinear third-order difference equations with mixed neutral termsAdv. Differ. Equ.2021202131485.39020 – reference: DošláZLiškaPOscillation of third-order nonlinear neutral differential equationsAppl. Math. Let.20165642481335.34102 – reference: KoplatadzeRGChanturiyaTAOscillating and monotone solutions of first-order differential equations with deviating argument(in Russian)Differ. Uravn.198218146314650496.34044 – reference: TunçEŞahinSGraefJRPinelasSNew oscillation criteria for third-order differential equations with bounded and unbounded neutral coefficientsElectron. J. Qual. Theory Differ. Equ.2021461131488.34373 – reference: AgarwalRPGraceSRO’ReganDOscillation Theory for Second Order Linear, Half-Linear. Superlinear and Sublinear Dynamic Equations2002DordrechtKluwer Academic Publishers1073.34002 – reference: AlzabutJAgarwalRPGraceSRJonnalagaddaJMOscillation results for solutions of fractional-order differential equationsFractal Fract.20226466 – reference: FinizioNLadasGOrdinary Differential Equations with Modern Applications19883BelmontWadsworth Pub. Co.0422.34001 – reference: GraefJRGraceSRTunçEOscillation of even-order advanced functional differential equationsPubl. Math. Debrecen.2018934454551424.34225 – reference: BaculíkováBDžurinaJOn the asymptotic behavior of a class of third order nonlinear neutral differential equationsCent. Eur. J. Math.20108109111031221.34173 – reference: ChatzarakisGGraceSRThird-order nonlinear differential equations with nonlinear neutral termsFunct. Differ. Equ.2020273131472.34128 – reference: GraefJRSakerSHOscillation theory of third-order nonlinear functional differential equationsHiroshima Math. J.20134349721272.34092 – reference: HardyGHLittlewoodIEPolyaGInequalities1959CambridgeCambridge University Press60.0169.01 – reference: ThandapaniEEl-SheikhMAASallamRSalemSOn the oscillatory behavior of third order differential equations with a sublinear neutral termMath. Slovaca.2020709510607289627 – reference: GraefJRTunçEGraceSROscillatory and asymptotic behavior of a third-order nonlinear neutral Differential equationOpusc. Math.2017378398521403.34050 – reference: PhilosCGOn the existence of nonoscillatory solutions tending to zero at 1 for differential equations with positive delaysArch. Math. (Basel)1981361681780463.34050 – reference: LiTRogovchenkoYVOn the asymptotic behavior of solutions to a class of third-order nonlinear neutral differential equationsAppl. Math. Lett.20201051062931436.34067 – reference: GraceSRJadlovskáIOscillatory behavior of odd-order nonlinear differential equations with a nonpositive Neutral term DynSyst. Appl.201827125136 – reference: KiguradzeITChanturiaTAAsymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations1993DordrechtKluwer Academic Publishers – reference: BainovDDMishevDPOscillation Theory of Neutral Differential Equations with Delay1991BristolAdam Hilger Ltd.0747.34037 – reference: DošláZLiškaPComparison theorems for third-order neutral differential equationsElectron. J. Differ. Equ.20162016381333.34106 – reference: AgarwalRPGraceSRDonthaSOn the oscillation of certain functional differential equationsCommun. Korean Math. Soc.2004193073191101.34325 – reference: AgarwalRPGraceSROscillation theorems for certain functional differential equations of higher orderMath. Comput. Model.200439118511941061.34047 – reference: GraceSRGraefJRTunçEOscillatory behaviour of third order nonlinear differential equations with a nonlinear nonpositive neutral termJ. Taibah Univ. Sci.201913704710 – reference: SakerSHAlzabutJMukheimerAOn the oscillatory behavior for a certain class of third order nonlinear delay difference equationsElectron. J. Qual. Theory Differ. Equ.20102010671208.39019 – reference: KarpuzBÖcalanÖÖztūrkSComparison theorems on the oscillation and asymptotic behaviour of higher-order neutral differential equationsGlasgow Math. J.2010521071141216.34073 – reference: AlzabutJGraceSRChhatriaGNNew oscillation results for higher order nonlinear differential equations with a nonlinear neutral termsJ. Math. Computer Sci.202328294305 – reference: JiangYJiangCLiTOscillatory behavior of third-order nonlinear neutral delay differential equationsAdv. Differ. Equ.201620161711419.34173 – reference: KitamuraYKusanoTOscillation of first-order nonlinear differential equations with deviating argumentsProc. Am. Math. Soc.19807864680433.34051 – reference: ChatzarakisGESrinivasanRThandapaniEOscillation results for third-order quasi-linear Emden-Fowler differential equations with unbounded neutral coefficientsTatra Mt. Math. Publ.2021801141486.34128 – reference: FengLHanZoscillation of a class of third-order neutral differential equations with noncanonical operatorsBull. Malays. Math. Sci. Soc.202144251925301480.34091 – reference: BaculíkováBProperties of third-order nonlinear functional differential equations with mixed argumentsAbstr. Appl. Anal.201120118578601217.34109 – reference: BaculíkováBDžurinaJOscillation theorems for higher order neutral differential equationsAppl. Math. Comput.2012219376937781311.34163 – reference: GraceSRGraefJREl-BeltagyMAOn the oscillation of third order neutral delay dynamic equations on time scalesComput. Math. Appl.2012637757821247.34139 – reference: BaculíkováBDžurinaJOscillation of third-order neutral differential equationsMath. Comput. Model.2010522152261201.34097 – reference: GraefJRBeldjerdDRemiliMOn the stability, boundedness, and square integrability of solutions of third order neutral delay differential equationsMath. J. Okayama Univ.2021631141459.34169 – reference: DžurinaJKotorováRProperties of the third order trinomial differential equations with delay argumentNonlinear Anal.200971199520021173.34348 – reference: AgarwalRPBohnerMLiTZhangCA new approach in the study of oscillatory behaviour of even-order neutral delay differential equationsAppl. Math. Comput.20132257877941334.34147 – reference: ÖzdemirOKayaŞComparison theorems on the oscillation of third-order functional differential equations with mixed deviating arguments in neutral termDiffer. Equ. Appl.20221417301486.34130 – reference: PadhiSPatiSTheory of Third-Order Differential Equations2014New DelhiSpringer1308.34002 – reference: ErbeLHKongQZhangBGOscillation Theory for Functional Differential Equations1995New YorkMarcel Dekker Inc.0821.34067 – reference: DžurinaJGraceSRJadlovskáIOn nonexistence of Kneser solutions of third-order neutral delay differential equationsAppl. Math. Let.2019881932001408.34048 – reference: AgarwalRPGraceSRO’ReganDOscillation Theory for Difference and Functional Differential Equations2000DordrechtKluwer Academic Publishers0954.34002 – reference: LadasGStavroulakisIPOscillations caused by several retarded and advanced argumentsJ. Differ. Equ.1982441341520452.34058 – reference: ThandapaniELiTOn the oscillation of third-order quasi-linear neutral functional differential equationsArch. Math. (Brno)2011471811991249.34194 – reference: HaleJKLunelSMVIntroduction to Functional Differential Equations1993New YorkSpringer0787.34002 – volume: 14 start-page: 17 year: 2022 ident: 715_CR39 publication-title: Differ. Equ. Appl. – volume: 93 start-page: 445 year: 2018 ident: 715_CR28 publication-title: Publ. Math. Debrecen. doi: 10.5486/PMD.2018.8205 – volume-title: Inequalities year: 1959 ident: 715_CR31 – volume: 56 start-page: 42 year: 2016 ident: 715_CR17 publication-title: Appl. Math. Let. doi: 10.1016/j.aml.2015.12.010 – volume-title: Theory of Third-Order Differential Equations year: 2014 ident: 715_CR40 doi: 10.1007/978-81-322-1614-8 – volume: 2010 start-page: 67 year: 2010 ident: 715_CR42 publication-title: Electron. J. Qual. Theory Differ. Equ. – volume: 13 start-page: 704 year: 2019 ident: 715_CR24 publication-title: J. Taibah Univ. Sci. doi: 10.1080/16583655.2019.1622847 – volume-title: Introduction to Functional Differential Equations year: 1993 ident: 715_CR30 doi: 10.1007/978-1-4612-4342-7 – volume: 43 start-page: 49 year: 2013 ident: 715_CR26 publication-title: Hiroshima Math. J. doi: 10.32917/hmj/1368217950 – volume: 2016 start-page: 171 year: 2016 ident: 715_CR32 publication-title: Adv. Differ. Equ. doi: 10.1186/s13662-016-0902-7 – volume: 44 start-page: 2519 year: 2021 ident: 715_CR21 publication-title: Bull. Malays. Math. Sci. Soc. doi: 10.1007/s40840-021-01079-x – volume: 63 start-page: 1 year: 2021 ident: 715_CR29 publication-title: Math. J. Okayama Univ. – volume: 8 start-page: 1091 year: 2010 ident: 715_CR12 publication-title: Cent. Eur. J. Math. doi: 10.2478/s11533-010-0072-x – volume: 27 start-page: 125 year: 2018 ident: 715_CR25 publication-title: Syst. Appl. – volume: 19 start-page: 307 year: 2004 ident: 715_CR5 publication-title: Commun. Korean Math. Soc. doi: 10.4134/CKMS.2004.19.2.307 – volume: 2011 start-page: 857860 year: 2011 ident: 715_CR10 publication-title: Abstr. Appl. Anal. doi: 10.1155/2011/857860 – volume: 47 start-page: 181 year: 2011 ident: 715_CR43 publication-title: Arch. Math. (Brno) – volume: 18 start-page: 1463 year: 1982 ident: 715_CR36 publication-title: Differ. Uravn. – volume: 70 start-page: 95 year: 2020 ident: 715_CR44 publication-title: Math. Slovaca. doi: 10.1515/ms-2017-0335 – volume-title: Oscillation Theory for Second Order Linear, Half-Linear. Superlinear and Sublinear Dynamic Equations year: 2002 ident: 715_CR2 doi: 10.1007/978-94-017-2515-6 – volume: 39 start-page: 1185 year: 2004 ident: 715_CR4 publication-title: Math. Comput. Model. doi: 10.1016/S0895-7177(04)90539-0 – volume: 37 start-page: 839 year: 2017 ident: 715_CR27 publication-title: Opusc. Math. doi: 10.7494/OpMath.2017.37.6.839 – volume: 6 start-page: 466 year: 2022 ident: 715_CR3 publication-title: Fractal Fract. doi: 10.3390/fractalfract6090466 – volume: 27 start-page: 3 year: 2020 ident: 715_CR14 publication-title: Funct. Differ. Equ. – volume: 2016 start-page: 38 year: 2016 ident: 715_CR16 publication-title: Electron. J. Differ. Equ. doi: 10.1186/s13662-016-0771-0 – volume-title: Oscillation Theory for Difference and Functional Differential Equations year: 2000 ident: 715_CR1 doi: 10.1007/978-94-015-9401-1 – volume: 80 start-page: 1 year: 2021 ident: 715_CR15 publication-title: Tatra Mt. Math. Publ. – volume: 46 start-page: 1 year: 2021 ident: 715_CR45 publication-title: Electron. J. Qual. Theory Differ. Equ. doi: 10.14232/ejqtde.2021.1.46 – volume: 2021 start-page: 3 year: 2021 ident: 715_CR7 publication-title: Adv. Differ. Equ. doi: 10.1186/s13662-020-03156-0 – volume: 63 start-page: 775 year: 2012 ident: 715_CR23 publication-title: Comput. Math. Appl. doi: 10.1016/j.camwa.2011.11.042 – volume: 105 start-page: 106293 year: 2020 ident: 715_CR38 publication-title: Appl. Math. Lett. doi: 10.1016/j.aml.2020.106293 – volume-title: Asymptotic Properties of Solutions of Nonautonomous Ordinary Differential Equations year: 1993 ident: 715_CR34 doi: 10.1007/978-94-011-1808-8 – volume: 225 start-page: 787 year: 2013 ident: 715_CR6 publication-title: Appl. Math. Comput. – volume-title: Ordinary Differential Equations with Modern Applications year: 1988 ident: 715_CR22 – volume: 44 start-page: 134 year: 1982 ident: 715_CR37 publication-title: J. Differ. Equ. doi: 10.1016/0022-0396(82)90029-8 – volume: 36 start-page: 168 year: 1981 ident: 715_CR41 publication-title: Arch. Math. (Basel) doi: 10.1007/BF01223686 – volume-title: Oscillation Theory of Neutral Differential Equations with Delay year: 1991 ident: 715_CR9 – volume: 88 start-page: 193 year: 2019 ident: 715_CR19 publication-title: Appl. Math. Let. doi: 10.1016/j.aml.2018.08.016 – volume: 52 start-page: 107 year: 2010 ident: 715_CR33 publication-title: Glasgow Math. J. doi: 10.1017/S0017089509990188 – volume: 52 start-page: 215 year: 2010 ident: 715_CR11 publication-title: Math. Comput. Model. doi: 10.1016/j.mcm.2010.02.011 – volume: 71 start-page: 1995 year: 2009 ident: 715_CR18 publication-title: Nonlinear Anal. doi: 10.1016/j.na.2009.01.070 – volume: 28 start-page: 294 year: 2023 ident: 715_CR8 publication-title: J. Math. Computer Sci. doi: 10.22436/jmcs.028.03.07 – volume: 219 start-page: 3769 year: 2012 ident: 715_CR13 publication-title: Appl. Math. Comput. – volume-title: Oscillation Theory for Functional Differential Equations year: 1995 ident: 715_CR20 – volume: 78 start-page: 64 year: 1980 ident: 715_CR35 publication-title: Proc. Am. Math. Soc. doi: 10.1090/S0002-9939-1980-0548086-5 |
| SSID | ssj0062732 |
| Score | 2.3569822 |
| Snippet | This paper deals with the asymptotic and oscillatory behaviour of third-order non-linear differential equations with mixed non-linear neutral terms and a... |
| SourceID | proquest crossref springer |
| SourceType | Aggregation Database Enrichment Source Index Database Publisher |
| SubjectTerms | Asymptotic properties Difference and Functional Equations Dynamical Systems and Ergodic Theory Mathematical analysis Mathematics Mathematics and Statistics Nonlinear differential equations Operators (mathematics) Theorems |
| Title | Asymptotic and Oscillatory Behaviour of Third Order Non-linear Differential Equations with Canonical Operator and Mixed Neutral Terms |
| URI | https://link.springer.com/article/10.1007/s12346-022-00715-6 https://www.proquest.com/docview/2754528646 |
| Volume | 22 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1LT9wwELbKcmkP9EVVKEU-9NYaxY7tOMcVXYpa7XLZlegpcuyJQMDudpOVoPf-744Th1VRW4lbIjv2xK_55Jn5hpAPPPGQukwzV2WWSeMEKz3HJ5F7UFmljQ8W3fFEn87k13N1HoPC6t7bvTdJtif1JthNpDI4zAoW9KJieotsK25yMyDbwy_fv436E1ijSm6tnAhFmJI6icEyf2_lT4W0QZkPDKOtvjl5Tma9pJ2bydXRuimP3M8HJI6P_ZUXZCcCUDrsVsxL8gTmr8iz8T17a_2a_BrWdzfLZoFv1M49PUM1iaslmONp5FNcr-iiotOLyxUWB_ZOOlnMWYCsdkU_x6QreHhc09GPjky8puHKlx7b-aINxaRnS2hN_G0X48tb8HQC63DxQqeoLupdMjsZTY9PWUzXwBzu44bxSqchG7tA1GCEFRJSSNLUckCQpbxVeV4ayaX3llsERtyBqMBlgJgEjIP0DRmgCPCW0ER6bVBUyANfoE7L0iohnchUJhOnzB7h_ZwVLnKZh5Qa18WGhTkMcYHSFO0QF3qPfLz_Ztkxefy39kG_FIq4q-sC-5dKGC2x-FM_s5vif7e2_7jq78jTkNW-c3U7IINmtYb3iH2a8jAu9UOyNRPD31zo-iQ |
| linkProvider | Springer Nature |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV3Pb9MwFH6C7gA78BttMMAHbuApcWwnPVajo7C1u7TSOEWO_SKmbW1pUontzv_Nc-KsYgKk3RLZcV7sZ78vfn7fA3gfRw4Tm2puy9RwmVnBCxfTleg7VGmpM-c9uuOJHs3k11N1GoLCqu60e-eSbFbqTbCbSKQ_MCu4t4uK6_uwJekfPOrB1uDzt6NhtwJrMsmNl5OgCFdSRyFY5u-t_GmQNijzlmO0sTeHj2HWSdoeMznfX9fFvr2-ReJ41095Ao8CAGWDVmOewj2cP4Pt8Q17a_Ucfg2qq8tlvaA7ZuaOnZCZJG3x7ngW-BTXK7Yo2fT72YqKPXsnmyzm3ENWs2KfQtIVWjwu2PBHSyZeMb_lyw7MfNGEYrKTJTYu_uYV47Of6NgE137jhU3JXFQvYHY4nB6MeEjXwC3N45rHpU58NnZBqCETRkhMMEoSEyOBLOWM6veLTMbSORMbAkaxRVGiTZEwCWYWk5fQIxFwB1gknc5IVOx7vkCdFIVRQlqRqlRGVmW7EHdjltvAZe5TalzkGxZm38U5SZM3XZzrXfhw88yyZfL4b-29ThXyMKurnN4vlci0pOKP3chuiv_d2qu7VX8HD0bT8XF-_GVy9Boe-gz37bG3PejVqzW-IRxUF2-D2v8GKwf8GA |
| linkToPdf | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwlV1LT9wwELYoSFU5IKBFUF4-cAOL2LGd7HEFrHjtwmFX4hY59kQgQXbZZKX2B_R_M86DhQoq9ZbIjj3K2J5PnplvCDnggYPQRprZLDJMxlaw1HF8Eh0HKsp07LxHtz_Q5yN5eafu3mTxV9HurUuyzmnwLE15eTxx2fE88U2E0gfPCuZtpGL6C1nC45j7lT4S3fYs1micK38nghKmpA6atJmPx3hvmuZ48y8XaWV5eqtkpYGMtFvreI0sQL5OlvuvfKvFd_KnW_x-mpRjfKMmd_QGDRvq1zvQacOAOJvScUaH9w9TbPZ8m3QwzpkHmWZKT5syKbjdH-nZc03_XVB_SUtPTD6ukifpzQQqp3w1Rf_hFzg6gJm_KqFDPOCLH2TUOxuenLOmwAKzuPNKxjMd-vrpAu18LIyQEEIQhoYDwiLljOp00lhy6ZzhBqEMtyAysBEgioDYQrhBFlEE2CQ0kE7HKCp0PMOfDtPUKCGtiFQkA6viLcLbf5vYhn3cF8F4TOa8yV4fCUqTVPpI9BY5fP1mUnNv_LP3TquypNmHRYLzSyViLbH5qFXjvPnz0X7-X_d98vX2tJdcXwyutsk3X5K-jlPbIYvldAa7CFzKdK9amy-ub-Nl |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Asymptotic+and+Oscillatory+Behaviour+of+Third+Order+Non-linear+Differential+Equations+with+Canonical+Operator+and+Mixed+Neutral+Terms&rft.jtitle=Qualitative+theory+of+dynamical+systems&rft.au=Alzabut%2C+J.&rft.au=Grace%2C+S.+R.&rft.au=Santra%2C+S.+S.&rft.au=Chhatria%2C+G.+N.&rft.date=2023-03-01&rft.issn=1575-5460&rft.eissn=1662-3592&rft.volume=22&rft.issue=1&rft_id=info:doi/10.1007%2Fs12346-022-00715-6&rft.externalDBID=n%2Fa&rft.externalDocID=10_1007_s12346_022_00715_6 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1575-5460&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1575-5460&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1575-5460&client=summon |