Existence of Periodic Solutions to Nonlinear Differential Equations of Third Order with Multiple Deviating Arguments
We establish certain new sufficient conditions which guarantee the existence of periodic solutions for a nonlinear differential equation of the third order with multiple deviating arguments. Using the Lyapunov functional approach, we prove a specific theorem and provide an example to illustrate the...
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | International Journal of Differential Equations |
| Online Access: | http://dx.doi.org/10.1155/2012/406835 |
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| _version_ | 1832565552033300480 |
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| author | Cemil Tunç |
| author_facet | Cemil Tunç |
| author_sort | Cemil Tunç |
| collection | DOAJ |
| description | We establish certain new sufficient conditions which guarantee the existence of periodic solutions for a nonlinear differential equation of the third order with multiple deviating arguments. Using the Lyapunov functional approach, we prove a specific theorem and provide an example to illustrate the theoretical analysis in this work and the effectiveness of the method utilized here. |
| format | Article |
| id | doaj-art-fd013f1199e940ea889b9af1f1e522eb |
| institution | Kabale University |
| issn | 1687-9643 1687-9651 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Differential Equations |
| spelling | doaj-art-fd013f1199e940ea889b9af1f1e522eb2025-02-03T01:07:20ZengWileyInternational Journal of Differential Equations1687-96431687-96512012-01-01201210.1155/2012/406835406835Existence of Periodic Solutions to Nonlinear Differential Equations of Third Order with Multiple Deviating ArgumentsCemil Tunç0Department of Mathematics, Faculty of Sciences, Yüzüncü Yıl University, 65080 Van, TurkeyWe establish certain new sufficient conditions which guarantee the existence of periodic solutions for a nonlinear differential equation of the third order with multiple deviating arguments. Using the Lyapunov functional approach, we prove a specific theorem and provide an example to illustrate the theoretical analysis in this work and the effectiveness of the method utilized here.http://dx.doi.org/10.1155/2012/406835 |
| spellingShingle | Cemil Tunç Existence of Periodic Solutions to Nonlinear Differential Equations of Third Order with Multiple Deviating Arguments International Journal of Differential Equations |
| title | Existence of Periodic Solutions to Nonlinear Differential Equations of Third Order with Multiple Deviating Arguments |
| title_full | Existence of Periodic Solutions to Nonlinear Differential Equations of Third Order with Multiple Deviating Arguments |
| title_fullStr | Existence of Periodic Solutions to Nonlinear Differential Equations of Third Order with Multiple Deviating Arguments |
| title_full_unstemmed | Existence of Periodic Solutions to Nonlinear Differential Equations of Third Order with Multiple Deviating Arguments |
| title_short | Existence of Periodic Solutions to Nonlinear Differential Equations of Third Order with Multiple Deviating Arguments |
| title_sort | existence of periodic solutions to nonlinear differential equations of third order with multiple deviating arguments |
| url | http://dx.doi.org/10.1155/2012/406835 |
| work_keys_str_mv | AT cemiltunc existenceofperiodicsolutionstononlineardifferentialequationsofthirdorderwithmultipledeviatingarguments |