Multiple Solutions for the Discrete p-Laplacian Boundary Value Problems
By employing a critical point theorem, established by Bonanno, we prove the existence of three distinct solutions to boundary value problems of nonlinear difference equations with a discrete p-Laplacian operator. To demonstrate the applicability of our results, we also present an example.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2014/213702 |
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| _version_ | 1832567970317991936 |
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| author | Yuhua Long Haiping Shi |
| author_facet | Yuhua Long Haiping Shi |
| author_sort | Yuhua Long |
| collection | DOAJ |
| description | By employing a critical point theorem, established by Bonanno, we prove the existence of three distinct solutions to boundary value problems of nonlinear difference equations with a discrete p-Laplacian operator. To demonstrate the applicability of our results, we also present an example. |
| format | Article |
| id | doaj-art-d8c5c325dac64df18a3b9e2f522eeb6f |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-d8c5c325dac64df18a3b9e2f522eeb6f2025-02-03T01:00:09ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2014-01-01201410.1155/2014/213702213702Multiple Solutions for the Discrete p-Laplacian Boundary Value ProblemsYuhua Long0Haiping Shi1School of Mathematics and Information Science, Guangzhou University, Guangzhou 510006, ChinaModern Business and Management Department, Guangdong Construction Vocational Technology Institute, Guangzhou 510450, ChinaBy employing a critical point theorem, established by Bonanno, we prove the existence of three distinct solutions to boundary value problems of nonlinear difference equations with a discrete p-Laplacian operator. To demonstrate the applicability of our results, we also present an example.http://dx.doi.org/10.1155/2014/213702 |
| spellingShingle | Yuhua Long Haiping Shi Multiple Solutions for the Discrete p-Laplacian Boundary Value Problems Discrete Dynamics in Nature and Society |
| title | Multiple Solutions for the Discrete p-Laplacian Boundary Value Problems |
| title_full | Multiple Solutions for the Discrete p-Laplacian Boundary Value Problems |
| title_fullStr | Multiple Solutions for the Discrete p-Laplacian Boundary Value Problems |
| title_full_unstemmed | Multiple Solutions for the Discrete p-Laplacian Boundary Value Problems |
| title_short | Multiple Solutions for the Discrete p-Laplacian Boundary Value Problems |
| title_sort | multiple solutions for the discrete p laplacian boundary value problems |
| url | http://dx.doi.org/10.1155/2014/213702 |
| work_keys_str_mv | AT yuhualong multiplesolutionsforthediscreteplaplacianboundaryvalueproblems AT haipingshi multiplesolutionsforthediscreteplaplacianboundaryvalueproblems |