Some Results for Periodic Solutions of a Kind of Liénard Equation
We investigate the following Liénard-type p-Laplacian equation with a deviating argument (φp(x′t))′+f(xt)x′t+βtgxt-τt=e(t). Some new criteria for guaranteeing the existence and uniqueness of periodic solutions of this equation are given by using the Manásevich-Mawhin continuation theorem and some an...
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| Format: | Article |
| Language: | English |
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Wiley
2015-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2015/519747 |
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| _version_ | 1832564523037360128 |
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| author | Yong Wang Xiangyi Yi |
| author_facet | Yong Wang Xiangyi Yi |
| author_sort | Yong Wang |
| collection | DOAJ |
| description | We investigate the following Liénard-type p-Laplacian equation with a deviating argument (φp(x′t))′+f(xt)x′t+βtgxt-τt=e(t). Some new criteria for guaranteeing the existence and uniqueness of periodic solutions of this equation are given by using the Manásevich-Mawhin continuation theorem and some analysis techniques. Our results hold under weaker conditions than some known results from the literature and are more effective. In the last section, an illustrative example is provided to demonstrate the applications of the theoretical results. |
| format | Article |
| id | doaj-art-20660eaac81649aa82d588041430b766 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2015-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-20660eaac81649aa82d588041430b7662025-02-03T01:10:50ZengWileyJournal of Function Spaces2314-88962314-88882015-01-01201510.1155/2015/519747519747Some Results for Periodic Solutions of a Kind of Liénard EquationYong Wang0Xiangyi Yi1State Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Chengdu University of Technology, Chengdu, Sichuan 610059, ChinaState Key Laboratory of Oil and Gas Reservoir Geology and Exploitation, Chengdu University of Technology, Chengdu, Sichuan 610059, ChinaWe investigate the following Liénard-type p-Laplacian equation with a deviating argument (φp(x′t))′+f(xt)x′t+βtgxt-τt=e(t). Some new criteria for guaranteeing the existence and uniqueness of periodic solutions of this equation are given by using the Manásevich-Mawhin continuation theorem and some analysis techniques. Our results hold under weaker conditions than some known results from the literature and are more effective. In the last section, an illustrative example is provided to demonstrate the applications of the theoretical results.http://dx.doi.org/10.1155/2015/519747 |
| spellingShingle | Yong Wang Xiangyi Yi Some Results for Periodic Solutions of a Kind of Liénard Equation Journal of Function Spaces |
| title | Some Results for Periodic Solutions of a Kind of Liénard Equation |
| title_full | Some Results for Periodic Solutions of a Kind of Liénard Equation |
| title_fullStr | Some Results for Periodic Solutions of a Kind of Liénard Equation |
| title_full_unstemmed | Some Results for Periodic Solutions of a Kind of Liénard Equation |
| title_short | Some Results for Periodic Solutions of a Kind of Liénard Equation |
| title_sort | some results for periodic solutions of a kind of lienard equation |
| url | http://dx.doi.org/10.1155/2015/519747 |
| work_keys_str_mv | AT yongwang someresultsforperiodicsolutionsofakindoflienardequation AT xiangyiyi someresultsforperiodicsolutionsofakindoflienardequation |