Periodic Solutions of Second-Order Difference Problem with Potential Indefinite in Sign
We investigate the periodic solutions of second-order difference problem with potential indefinite in sign. We consider the compactness condition of variational functional and local linking at 0 by introducing new number . By using Morse theory, we obtain some new results concerning the existence of...
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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/10.1155/2013/517036 |
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| _version_ | 1832562751394807808 |
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| author | Honghua Bin |
| author_facet | Honghua Bin |
| author_sort | Honghua Bin |
| collection | DOAJ |
| description | We investigate the periodic solutions of second-order difference problem with potential indefinite in sign. We consider the compactness condition of variational functional and local linking at 0 by introducing new number . By using Morse theory, we obtain some new results concerning the existence of nontrivial periodic solution. |
| format | Article |
| id | doaj-art-984d2be0f7424bdb8106d01c3346d8bc |
| 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-984d2be0f7424bdb8106d01c3346d8bc2025-02-03T01:21:56ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/517036517036Periodic Solutions of Second-Order Difference Problem with Potential Indefinite in SignHonghua Bin0School of Science, Jimei University, Xiamen 361021, ChinaWe investigate the periodic solutions of second-order difference problem with potential indefinite in sign. We consider the compactness condition of variational functional and local linking at 0 by introducing new number . By using Morse theory, we obtain some new results concerning the existence of nontrivial periodic solution.http://dx.doi.org/10.1155/2013/517036 |
| spellingShingle | Honghua Bin Periodic Solutions of Second-Order Difference Problem with Potential Indefinite in Sign Abstract and Applied Analysis |
| title | Periodic Solutions of Second-Order Difference Problem with Potential Indefinite in Sign |
| title_full | Periodic Solutions of Second-Order Difference Problem with Potential Indefinite in Sign |
| title_fullStr | Periodic Solutions of Second-Order Difference Problem with Potential Indefinite in Sign |
| title_full_unstemmed | Periodic Solutions of Second-Order Difference Problem with Potential Indefinite in Sign |
| title_short | Periodic Solutions of Second-Order Difference Problem with Potential Indefinite in Sign |
| title_sort | periodic solutions of second order difference problem with potential indefinite in sign |
| url | http://dx.doi.org/10.1155/2013/517036 |
| work_keys_str_mv | AT honghuabin periodicsolutionsofsecondorderdifferenceproblemwithpotentialindefiniteinsign |