Three Homoclinic Solutions for Second-Order -Laplacian Differential System
We consider second-order -Laplacian differential system. By using three critical points theorem, we establish the new criterion to guarantee that this -Laplacian differential system has at least three homoclinic solutions. An example is presented to illustrate the main result.
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/183585 |
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| _version_ | 1832553348530700288 |
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| author | Jia Guo Bin-Xiang Dai |
| author_facet | Jia Guo Bin-Xiang Dai |
| author_sort | Jia Guo |
| collection | DOAJ |
| description | We consider second-order -Laplacian differential system. By using three critical points theorem, we establish the new criterion to guarantee that this
-Laplacian differential system has at least three homoclinic solutions. An example is presented to illustrate the main result. |
| format | Article |
| id | doaj-art-98c84c667b4a49d993279056ab362a3e |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-98c84c667b4a49d993279056ab362a3e2025-02-03T05:54:15ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/183585183585Three Homoclinic Solutions for Second-Order -Laplacian Differential SystemJia Guo0Bin-Xiang Dai1School of Mathematics and Statistics, Central South University, Changsha, Hunan 410075, ChinaSchool of Mathematics and Statistics, Central South University, Changsha, Hunan 410075, ChinaWe consider second-order -Laplacian differential system. By using three critical points theorem, we establish the new criterion to guarantee that this -Laplacian differential system has at least three homoclinic solutions. An example is presented to illustrate the main result.http://dx.doi.org/10.1155/2013/183585 |
| spellingShingle | Jia Guo Bin-Xiang Dai Three Homoclinic Solutions for Second-Order -Laplacian Differential System Abstract and Applied Analysis |
| title | Three Homoclinic Solutions for Second-Order -Laplacian Differential System |
| title_full | Three Homoclinic Solutions for Second-Order -Laplacian Differential System |
| title_fullStr | Three Homoclinic Solutions for Second-Order -Laplacian Differential System |
| title_full_unstemmed | Three Homoclinic Solutions for Second-Order -Laplacian Differential System |
| title_short | Three Homoclinic Solutions for Second-Order -Laplacian Differential System |
| title_sort | three homoclinic solutions for second order laplacian differential system |
| url | http://dx.doi.org/10.1155/2013/183585 |
| work_keys_str_mv | AT jiaguo threehomoclinicsolutionsforsecondorderlaplaciandifferentialsystem AT binxiangdai threehomoclinicsolutionsforsecondorderlaplaciandifferentialsystem |