Periodic solutions for discrete p(k) $p(k)$-Laplacian systems with partially periodic potential
Abstract In this paper, we are concerned with the existence of periodic solutions for discrete p(k) $p(k)$-Laplacian systems with partially periodic potential. Some new existence results are obtained by using the generalized saddle point theorem in critical point theory, which extends and improves s...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-07-01
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| Series: | Advances in Difference Equations |
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| Online Access: | http://link.springer.com/article/10.1186/s13662-018-1701-0 |
| _version_ | 1818386920991883264 |
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| author | Shengui Zhang |
| author_facet | Shengui Zhang |
| author_sort | Shengui Zhang |
| collection | DOAJ |
| description | Abstract In this paper, we are concerned with the existence of periodic solutions for discrete p(k) $p(k)$-Laplacian systems with partially periodic potential. Some new existence results are obtained by using the generalized saddle point theorem in critical point theory, which extends and improves some known results in the literature. |
| first_indexed | 2024-12-14T04:01:43Z |
| format | Article |
| id | doaj.art-8716d41ffced4aada809e2eeb5ffd192 |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-14T04:01:43Z |
| publishDate | 2018-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-8716d41ffced4aada809e2eeb5ffd1922022-12-21T23:17:56ZengSpringerOpenAdvances in Difference Equations1687-18472018-07-012018111510.1186/s13662-018-1701-0Periodic solutions for discrete p(k) $p(k)$-Laplacian systems with partially periodic potentialShengui Zhang0College of Mathematics and Computer Science, Northwest Minzu UniversityAbstract In this paper, we are concerned with the existence of periodic solutions for discrete p(k) $p(k)$-Laplacian systems with partially periodic potential. Some new existence results are obtained by using the generalized saddle point theorem in critical point theory, which extends and improves some known results in the literature.http://link.springer.com/article/10.1186/s13662-018-1701-0Critical pointPeriodic solutionDiscrete p ( k ) $p(k)$ -Laplacian systemsPeriodicityThe generalized saddle point theorem |
| spellingShingle | Shengui Zhang Periodic solutions for discrete p(k) $p(k)$-Laplacian systems with partially periodic potential Advances in Difference Equations Critical point Periodic solution Discrete p ( k ) $p(k)$ -Laplacian systems Periodicity The generalized saddle point theorem |
| title | Periodic solutions for discrete p(k) $p(k)$-Laplacian systems with partially periodic potential |
| title_full | Periodic solutions for discrete p(k) $p(k)$-Laplacian systems with partially periodic potential |
| title_fullStr | Periodic solutions for discrete p(k) $p(k)$-Laplacian systems with partially periodic potential |
| title_full_unstemmed | Periodic solutions for discrete p(k) $p(k)$-Laplacian systems with partially periodic potential |
| title_short | Periodic solutions for discrete p(k) $p(k)$-Laplacian systems with partially periodic potential |
| title_sort | periodic solutions for discrete p k p k laplacian systems with partially periodic potential |
| topic | Critical point Periodic solution Discrete p ( k ) $p(k)$ -Laplacian systems Periodicity The generalized saddle point theorem |
| url | http://link.springer.com/article/10.1186/s13662-018-1701-0 |
| work_keys_str_mv | AT shenguizhang periodicsolutionsfordiscretepkpklaplaciansystemswithpartiallyperiodicpotential |