New Oscillation Criteria for Third-Order Nonlinear Functional Differential Equations
This paper discusses oscillatory and asymptotic behavior of solutions of a class of third-order nonlinear functional differential equations. By using the generalized Riccati transformation and the integral averaging technique, three new sufficient conditions which insure that the solution is oscilla...
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| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/943170 |
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| _version_ | 1832548210360451072 |
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| author | Quanxin Zhang Li Gao Shouhua Liu Yuanhong Yu |
| author_facet | Quanxin Zhang Li Gao Shouhua Liu Yuanhong Yu |
| author_sort | Quanxin Zhang |
| collection | DOAJ |
| description | This paper discusses oscillatory and asymptotic behavior of solutions of a class
of third-order nonlinear functional differential equations. By using the generalized Riccati
transformation and the integral averaging technique, three new sufficient conditions which
insure that the solution is oscillatory or converges to zero are established. The results obtained
essentially generalize and improve the earlier ones. |
| format | Article |
| id | doaj-art-ab00ccd178ee41cf90dea9f6e3181911 |
| 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-ab00ccd178ee41cf90dea9f6e31819112025-02-03T06:42:00ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/943170943170New Oscillation Criteria for Third-Order Nonlinear Functional Differential EquationsQuanxin Zhang0Li Gao1Shouhua Liu2Yuanhong Yu3Department of Mathematics, Binzhou University, Shandong 256603, ChinaDepartment of Mathematics, Binzhou University, Shandong 256603, ChinaDepartment of Mathematics, Binzhou University, Shandong 256603, ChinaAcademy of Mathematics and System Sciences, Chinese Academy of Sciences, Beijing 100190, ChinaThis paper discusses oscillatory and asymptotic behavior of solutions of a class of third-order nonlinear functional differential equations. By using the generalized Riccati transformation and the integral averaging technique, three new sufficient conditions which insure that the solution is oscillatory or converges to zero are established. The results obtained essentially generalize and improve the earlier ones.http://dx.doi.org/10.1155/2014/943170 |
| spellingShingle | Quanxin Zhang Li Gao Shouhua Liu Yuanhong Yu New Oscillation Criteria for Third-Order Nonlinear Functional Differential Equations Abstract and Applied Analysis |
| title | New Oscillation Criteria for Third-Order Nonlinear Functional Differential Equations |
| title_full | New Oscillation Criteria for Third-Order Nonlinear Functional Differential Equations |
| title_fullStr | New Oscillation Criteria for Third-Order Nonlinear Functional Differential Equations |
| title_full_unstemmed | New Oscillation Criteria for Third-Order Nonlinear Functional Differential Equations |
| title_short | New Oscillation Criteria for Third-Order Nonlinear Functional Differential Equations |
| title_sort | new oscillation criteria for third order nonlinear functional differential equations |
| url | http://dx.doi.org/10.1155/2014/943170 |
| work_keys_str_mv | AT quanxinzhang newoscillationcriteriaforthirdordernonlinearfunctionaldifferentialequations AT ligao newoscillationcriteriaforthirdordernonlinearfunctionaldifferentialequations AT shouhualiu newoscillationcriteriaforthirdordernonlinearfunctionaldifferentialequations AT yuanhongyu newoscillationcriteriaforthirdordernonlinearfunctionaldifferentialequations |