Oscillatory behavior of higher order nonlinear difference equations
The authors present some new oscillation criteria for higher order nonlinear difference equations with nonnegative real coefficients of the form Both of the cases n even and n odd are considered. They give examples to illustrate their results.
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Published in | Mathematical modelling and analysis Vol. 25; no. 4; pp. 522 - 530 |
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Main Authors | , |
Format | Journal Article |
Language | English |
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Vilnius
Vilnius Gediminas Technical University
13.10.2020
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ISSN | 1392-6292 1648-3510 |
DOI | 10.3846/mma.2020.11447 |
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Abstract | The authors present some new oscillation criteria for higher order nonlinear difference equations with nonnegative real coefficients of the form Both of the cases n even and n odd are considered. They give examples to illustrate their results. |
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AbstractList | The authors present some new oscillation criteria for higher order nonlinear difference equations with nonnegative real coefficients of the form Both of the cases n even and n odd are considered. They give examples to illustrate their results. The authors present some new oscillation criteria for higher order nonlinear difference equations with nonnegative real coefficients of the form ... Both of the cases n even and n odd are considered. They give examples to illustrate their results. The authors present some new oscillation criteria for higher order nonlinear difference equations with nonnegative real coefficients of the form [mathematical expression not reproducible] Both of the cases n even and n odd are considered. They give examples to illustrate their results. Keywords: oscillation, higher order, difference equations. AMS Subject Classification: 34N05; 39A10; 34A21. |
Audience | Academic |
Author | Grace, Said R. Graef, John R. |
Author_xml | – sequence: 1 givenname: Said R. surname: Grace fullname: Grace, Said R. organization: Cairo University, Department of Engineering Mathematics, Faculty of Engineering, Orman, 12221 Giza, Egypt – sequence: 2 givenname: John R. orcidid: 0000-0002-8149-4633 surname: Graef fullname: Graef, John R. organization: University of Tennessee at Chattanooga, Department of Mathematics, University of Tennessee at Chattanooga, TN, 37403 Chattanooga, USA |
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Cites_doi | 10.7494/OpMath.2019.39.1.39 10.1016/S0893-9659(99)00149-4 10.1186/1029-242X-2014-417 10.1515/JAA.2000.87 10.1155/9789775945198 10.1016/0022-0396(82)90029-8 10.1201/9781420027020 10.7862/rf.2017.4 10.1007/978-94-015-9401-1 10.1016/j.jmaa.2004.12.024 10.1093/oso/9780198535829.001.0001 10.1016/j.camwa.2009.07.078 10.1080/10236190802125371 10.1016/j.cnsns.2009.01.003 10.1007/BF01223686 10.3846/mma.2018.014 |
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References_xml | – ident: key-10.3846/mma.2020.11447-13 doi: 10.7494/OpMath.2019.39.1.39 – volume: 43 start-page: 809 year: 2014 ident: key-10.3846/mma.2020.11447-19 article-title: Oscillation results of higher order nonlinear neutral delay difference equations with a nonlinear neutral term publication-title: Hacet. J. Math. Stat. – ident: key-10.3846/mma.2020.11447-3 doi: 10.1016/S0893-9659(99)00149-4 – ident: key-10.3846/mma.2020.11447-18 doi: 10.1186/1029-242X-2014-417 – ident: key-10.3846/mma.2020.11447-11 doi: 10.1515/JAA.2000.87 – volume: 7 start-page: 1 year: 2017 ident: key-10.3846/mma.2020.11447-17 article-title: Oscillation theorems for second order nonlinear neutral type difference equations with positive and negative coefficients publication-title: Rom. J. Math. Comput. Sci. – ident: key-10.3846/mma.2020.11447-2 doi: 10.1155/9789775945198 – ident: key-10.3846/mma.2020.11447-15 doi: 10.1016/0022-0396(82)90029-8 – ident: key-10.3846/mma.2020.11447-1 doi: 10.1201/9781420027020 – ident: key-10.3846/mma.2020.11447-5 doi: 10.7862/rf.2017.4 – ident: key-10.3846/mma.2020.11447-4 doi: 10.1007/978-94-015-9401-1 – ident: key-10.3846/mma.2020.11447-8 doi: 10.1016/j.jmaa.2004.12.024 – volume-title: Oscillation Theory of Delay Differential Equations and Applications year: 1991 ident: key-10.3846/mma.2020.11447-14 doi: 10.1093/oso/9780198535829.001.0001 – ident: key-10.3846/mma.2020.11447-7 doi: 10.1016/j.camwa.2009.07.078 – ident: key-10.3846/mma.2020.11447-10 doi: 10.1080/10236190802125371 – ident: key-10.3846/mma.2020.11447-9 doi: 10.1016/j.cnsns.2009.01.003 – ident: key-10.3846/mma.2020.11447-16 doi: 10.1007/BF01223686 – volume: 15 start-page: 429 year: 2006 ident: key-10.3846/mma.2020.11447-6 article-title: Oscillation and nonoscillation criteria for half-linear second order difference equations publication-title: Dynam. Systems Appl. – ident: key-10.3846/mma.2020.11447-12 doi: 10.3846/mma.2018.014 |
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SubjectTerms | Coefficients Difference equations difference equations higher order Inequality Mathematical analysis Mathematical research Nonlinear theories oscillation Oscillations |
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