Uniform boundedness of solutions for a class of Lienard equations
In this article, we study a class of Lienard equations $$ x''(t)+f(x(t))x'(t)+g_1(x(t))+g_2(x(t-au(t))=e(t). $$ Under some suitable conditions, we ensure that all solutions of the above Lienard equations are uniformly bounded. Our assumptions are less restrictive than those in [...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Texas State University
2009-08-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2009/97/abstr.html |
| _version_ | 1818563761328357376 |
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| author | Guo-Rong Ye Hui-Sheng Ding Xi-Lang Wu |
| author_facet | Guo-Rong Ye Hui-Sheng Ding Xi-Lang Wu |
| author_sort | Guo-Rong Ye |
| collection | DOAJ |
| description | In this article, we study a class of Lienard equations $$ x''(t)+f(x(t))x'(t)+g_1(x(t))+g_2(x(t-au(t))=e(t). $$ Under some suitable conditions, we ensure that all solutions of the above Lienard equations are uniformly bounded. Our assumptions are less restrictive than those in [9]; thus we extend some previous results. |
| first_indexed | 2024-12-14T01:20:36Z |
| format | Article |
| id | doaj.art-734e4ab1408c43b995d9559ed466b9cb |
| institution | Directory Open Access Journal |
| issn | 1072-6691 |
| language | English |
| last_indexed | 2024-12-14T01:20:36Z |
| publishDate | 2009-08-01 |
| publisher | Texas State University |
| record_format | Article |
| series | Electronic Journal of Differential Equations |
| spelling | doaj.art-734e4ab1408c43b995d9559ed466b9cb2022-12-21T23:22:25ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912009-08-01200997,15Uniform boundedness of solutions for a class of Lienard equationsGuo-Rong YeHui-Sheng DingXi-Lang WuIn this article, we study a class of Lienard equations $$ x''(t)+f(x(t))x'(t)+g_1(x(t))+g_2(x(t-au(t))=e(t). $$ Under some suitable conditions, we ensure that all solutions of the above Lienard equations are uniformly bounded. Our assumptions are less restrictive than those in [9]; thus we extend some previous results.http://ejde.math.txstate.edu/Volumes/2009/97/abstr.htmlSecond order differential equationscosine function of operatorsabstract Cauchy problem |
| spellingShingle | Guo-Rong Ye Hui-Sheng Ding Xi-Lang Wu Uniform boundedness of solutions for a class of Lienard equations Electronic Journal of Differential Equations Second order differential equations cosine function of operators abstract Cauchy problem |
| title | Uniform boundedness of solutions for a class of Lienard equations |
| title_full | Uniform boundedness of solutions for a class of Lienard equations |
| title_fullStr | Uniform boundedness of solutions for a class of Lienard equations |
| title_full_unstemmed | Uniform boundedness of solutions for a class of Lienard equations |
| title_short | Uniform boundedness of solutions for a class of Lienard equations |
| title_sort | uniform boundedness of solutions for a class of lienard equations |
| topic | Second order differential equations cosine function of operators abstract Cauchy problem |
| url | http://ejde.math.txstate.edu/Volumes/2009/97/abstr.html |
| work_keys_str_mv | AT guorongye uniformboundednessofsolutionsforaclassoflienardequations AT huishengding uniformboundednessofsolutionsforaclassoflienardequations AT xilangwu uniformboundednessofsolutionsforaclassoflienardequations |