Oscillatory Behavior of Second-Order Nonlinear Neutral Differential Equations
We study oscillatory behavior of solutions to a class of second-order nonlinear neutral differential equations under the assumptions that allow applications to differential equations with delayed and advanced arguments. New theorems do not need several restrictive assumptions required in related res...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/143614 |
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| author | Tongxing Li Yuriy V. Rogovchenko |
| author_facet | Tongxing Li Yuriy V. Rogovchenko |
| author_sort | Tongxing Li |
| collection | DOAJ |
| description | We study oscillatory behavior of solutions to a class of second-order nonlinear neutral differential equations under the
assumptions that allow applications to differential equations with delayed and advanced arguments. New theorems do not need several restrictive assumptions required in related results reported in the literature. Several examples are provided to show that the results obtained are sharp even for second-order ordinary differential equations and improve related contributions to the subject. |
| format | Article |
| id | doaj-art-bc95ebdeec884cd4ba4356962067edb1 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-bc95ebdeec884cd4ba4356962067edb12025-02-03T01:23:31ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/143614143614Oscillatory Behavior of Second-Order Nonlinear Neutral Differential EquationsTongxing Li0Yuriy V. Rogovchenko1Department of Mathematics, Linyi University, Linyi, Shandong 276005, ChinaDepartment of Mathematical Sciences, University of Agder, P.O. Box 422, 4604 Kristiansand, NorwayWe study oscillatory behavior of solutions to a class of second-order nonlinear neutral differential equations under the assumptions that allow applications to differential equations with delayed and advanced arguments. New theorems do not need several restrictive assumptions required in related results reported in the literature. Several examples are provided to show that the results obtained are sharp even for second-order ordinary differential equations and improve related contributions to the subject.http://dx.doi.org/10.1155/2014/143614 |
| spellingShingle | Tongxing Li Yuriy V. Rogovchenko Oscillatory Behavior of Second-Order Nonlinear Neutral Differential Equations Abstract and Applied Analysis |
| title | Oscillatory Behavior of Second-Order Nonlinear Neutral Differential Equations |
| title_full | Oscillatory Behavior of Second-Order Nonlinear Neutral Differential Equations |
| title_fullStr | Oscillatory Behavior of Second-Order Nonlinear Neutral Differential Equations |
| title_full_unstemmed | Oscillatory Behavior of Second-Order Nonlinear Neutral Differential Equations |
| title_short | Oscillatory Behavior of Second-Order Nonlinear Neutral Differential Equations |
| title_sort | oscillatory behavior of second order nonlinear neutral differential equations |
| url | http://dx.doi.org/10.1155/2014/143614 |
| work_keys_str_mv | AT tongxingli oscillatorybehaviorofsecondordernonlinearneutraldifferentialequations AT yuriyvrogovchenko oscillatorybehaviorofsecondordernonlinearneutraldifferentialequations |