New oscillation criteria for third-order neutral differential equations with continuously distributed delay
In this paper, we establish some new criteria for oscillation and asymptotic behavior of solutions of a certain class of third-order neutral differential equations with continuously distributed delay. We study the case of noncanonical equations subject to various conditions. An example is given to i...
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| Published in | Applied mathematics letters Vol. 77; pp. 64 - 71 |
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| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.03.2018
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| Abstract | In this paper, we establish some new criteria for oscillation and asymptotic behavior of solutions of a certain class of third-order neutral differential equations with continuously distributed delay. We study the case of noncanonical equations subject to various conditions. An example is given to illustrate the main results. |
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| AbstractList | In this paper, we establish some new criteria for oscillation and asymptotic behavior of solutions of a certain class of third-order neutral differential equations with continuously distributed delay. We study the case of noncanonical equations subject to various conditions. An example is given to illustrate the main results. |
| Author | Chen, Zimeng Shi, Wenying Gao, Shaoqin |
| Author_xml | – sequence: 1 givenname: Shaoqin surname: Gao fullname: Gao, Shaoqin email: gaoshq@amss.ac.cn, gaoshaoqin@cmc.hbu.cn organization: College of Mathematics and Information Science, Hebei University, Baoding, 071002, China – sequence: 2 givenname: Zimeng surname: Chen fullname: Chen, Zimeng organization: School of Management, Hebei University, Baoding, 071002, China – sequence: 3 givenname: Wenying surname: Shi fullname: Shi, Wenying organization: College of Mathematics and Information Science, Hebei University, Baoding, 071002, China |
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| Keywords | Continuously distributed delay Third-order neutral differential equation Oscillatory solution Noncanonical |
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| References | Zhang, Gao, Yu (b1) 2012; 25 Agarwal, Grace, O’Regan (b11) 2003; 37 Bohner, Grace, Sağer, Tunç (b4) 2016; 278 Agarwal, Bohner, Tang, Li, Zhang (b3) 2012; 219 Agarwal, Grace, O’Regan (b2) 2000 baculíková, Džurina (b5) 2011; 24 Philos (b9) 1981; 39 Baculková, Dz̆urina, Rogovchenko (b8) 2012; 218 Philos (b12) 1981; 36 Dos̆lá, Lis̆ka (b6) 2016; 56 Kiguradze, Chanturiya (b10) 1993 Aktaş, Tiryaki, Zafer (b7) 2010; 23 Agarwal (10.1016/j.aml.2017.09.009_b2) 2000 baculíková (10.1016/j.aml.2017.09.009_b5) 2011; 24 Philos (10.1016/j.aml.2017.09.009_b12) 1981; 36 Zhang (10.1016/j.aml.2017.09.009_b1) 2012; 25 Aktaş (10.1016/j.aml.2017.09.009_b7) 2010; 23 Agarwal (10.1016/j.aml.2017.09.009_b11) 2003; 37 Kiguradze (10.1016/j.aml.2017.09.009_b10) 1993 Baculková (10.1016/j.aml.2017.09.009_b8) 2012; 218 Dos̆lá (10.1016/j.aml.2017.09.009_b6) 2016; 56 Agarwal (10.1016/j.aml.2017.09.009_b3) 2012; 219 Bohner (10.1016/j.aml.2017.09.009_b4) 2016; 278 Philos (10.1016/j.aml.2017.09.009_b9) 1981; 39 |
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| SubjectTerms | Continuously distributed delay Noncanonical Oscillatory solution Third-order neutral differential equation |
| Title | New oscillation criteria for third-order neutral differential equations with continuously distributed delay |
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