Boundary Value Problems for Fourth Order Nonlinear p-Laplacian Difference Equations
We consider the boundary value problem for a fourth order nonlinear p-Laplacian difference equation containing both advance and retardation. By using Mountain pass lemma and some established inequalities, sufficient conditions of the existence of solutions of the boundary value problem are obtained....
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2014/343129 |
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| _version_ | 1832561061785501696 |
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| author | Qinqin Zhang |
| author_facet | Qinqin Zhang |
| author_sort | Qinqin Zhang |
| collection | DOAJ |
| description | We consider the boundary value problem for a fourth order nonlinear p-Laplacian difference equation containing both advance and retardation. By using Mountain pass lemma and some established inequalities, sufficient conditions of the existence of solutions of the boundary value problem are obtained. And an illustrative example is given in the last part of the paper. |
| format | Article |
| id | doaj-art-6c8d7997dc5a41b48fda54a916f8db6d |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-6c8d7997dc5a41b48fda54a916f8db6d2025-02-03T01:26:01ZengWileyJournal of Applied Mathematics1110-757X1687-00422014-01-01201410.1155/2014/343129343129Boundary Value Problems for Fourth Order Nonlinear p-Laplacian Difference EquationsQinqin Zhang0School of Mathematics and Information Science, Guangzhou University, Guangzhou, Guangdong 510006, ChinaWe consider the boundary value problem for a fourth order nonlinear p-Laplacian difference equation containing both advance and retardation. By using Mountain pass lemma and some established inequalities, sufficient conditions of the existence of solutions of the boundary value problem are obtained. And an illustrative example is given in the last part of the paper.http://dx.doi.org/10.1155/2014/343129 |
| spellingShingle | Qinqin Zhang Boundary Value Problems for Fourth Order Nonlinear p-Laplacian Difference Equations Journal of Applied Mathematics |
| title | Boundary Value Problems for Fourth Order Nonlinear p-Laplacian Difference Equations |
| title_full | Boundary Value Problems for Fourth Order Nonlinear p-Laplacian Difference Equations |
| title_fullStr | Boundary Value Problems for Fourth Order Nonlinear p-Laplacian Difference Equations |
| title_full_unstemmed | Boundary Value Problems for Fourth Order Nonlinear p-Laplacian Difference Equations |
| title_short | Boundary Value Problems for Fourth Order Nonlinear p-Laplacian Difference Equations |
| title_sort | boundary value problems for fourth order nonlinear p laplacian difference equations |
| url | http://dx.doi.org/10.1155/2014/343129 |
| work_keys_str_mv | AT qinqinzhang boundaryvalueproblemsforfourthordernonlinearplaplaciandifferenceequations |