Existence and Multiplicity of Periodic Solutions Generated by Impulses
We investigate the existence and multiplicity of periodic solutions for a class of second-order differential systems with impulses. By using variational methods and critical point theory, we obtain such a system possesses at least one nonzero, two nonzero, or infinitely many peri...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2011/310957 |
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| _version_ | 1832559160693096448 |
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| author | Liu Yang Haibo Chen |
| author_facet | Liu Yang Haibo Chen |
| author_sort | Liu Yang |
| collection | DOAJ |
| description | We investigate the
existence and multiplicity of periodic solutions
for a class of second-order differential systems with impulses. By using variational
methods and critical point theory, we obtain such a system possesses
at least one nonzero, two nonzero, or infinitely many periodic solutions generated
by impulses under different conditions, respectively. Recent results in the
literature are generalized and significantly improved. |
| format | Article |
| id | doaj-art-a3fe163f52794ef1a80f9ff952ab250c |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-a3fe163f52794ef1a80f9ff952ab250c2025-02-03T01:30:40ZengWileyAbstract and Applied Analysis1085-33751687-04092011-01-01201110.1155/2011/310957310957Existence and Multiplicity of Periodic Solutions Generated by ImpulsesLiu Yang0Haibo Chen1Department of Mathematics and Computing Sciences, Hengyang Normal University, Hunan, Hengyang 421008, ChinaDepartment of Mathematics, Central South University, Hunan, Changsha 421008, ChinaWe investigate the existence and multiplicity of periodic solutions for a class of second-order differential systems with impulses. By using variational methods and critical point theory, we obtain such a system possesses at least one nonzero, two nonzero, or infinitely many periodic solutions generated by impulses under different conditions, respectively. Recent results in the literature are generalized and significantly improved.http://dx.doi.org/10.1155/2011/310957 |
| spellingShingle | Liu Yang Haibo Chen Existence and Multiplicity of Periodic Solutions Generated by Impulses Abstract and Applied Analysis |
| title | Existence and Multiplicity of Periodic Solutions Generated by Impulses |
| title_full | Existence and Multiplicity of Periodic Solutions Generated by Impulses |
| title_fullStr | Existence and Multiplicity of Periodic Solutions Generated by Impulses |
| title_full_unstemmed | Existence and Multiplicity of Periodic Solutions Generated by Impulses |
| title_short | Existence and Multiplicity of Periodic Solutions Generated by Impulses |
| title_sort | existence and multiplicity of periodic solutions generated by impulses |
| url | http://dx.doi.org/10.1155/2011/310957 |
| work_keys_str_mv | AT liuyang existenceandmultiplicityofperiodicsolutionsgeneratedbyimpulses AT haibochen existenceandmultiplicityofperiodicsolutionsgeneratedbyimpulses |