Three Solutions for Fourth-Order Impulsive Differential Inclusions via Nonsmooth Critical Point Theory
An existence of at least three solutions for a fourth-order impulsive differential inclusion will be obtained by applying a nonsmooth version of a three-critical-point theorem. Our results generalize and improve some known results.
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
2018-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2018/1871453 |
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| _version_ | 1832563220001325056 |
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| author | Dongdong Gao Jianli Li |
| author_facet | Dongdong Gao Jianli Li |
| author_sort | Dongdong Gao |
| collection | DOAJ |
| description | An existence of at least three solutions for a fourth-order impulsive differential inclusion will be obtained by applying a nonsmooth version of a three-critical-point theorem. Our results generalize and improve some known results. |
| format | Article |
| id | doaj-art-678110d928784e859fa7657c4073e79e |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2018-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-678110d928784e859fa7657c4073e79e2025-02-03T01:20:45ZengWileyJournal of Function Spaces2314-88962314-88882018-01-01201810.1155/2018/18714531871453Three Solutions for Fourth-Order Impulsive Differential Inclusions via Nonsmooth Critical Point TheoryDongdong Gao0Jianli Li1Department of Mathematics, Hunan Normal University, Changsha, Hunan 410081, ChinaDepartment of Mathematics, Hunan Normal University, Changsha, Hunan 410081, ChinaAn existence of at least three solutions for a fourth-order impulsive differential inclusion will be obtained by applying a nonsmooth version of a three-critical-point theorem. Our results generalize and improve some known results.http://dx.doi.org/10.1155/2018/1871453 |
| spellingShingle | Dongdong Gao Jianli Li Three Solutions for Fourth-Order Impulsive Differential Inclusions via Nonsmooth Critical Point Theory Journal of Function Spaces |
| title | Three Solutions for Fourth-Order Impulsive Differential Inclusions via Nonsmooth Critical Point Theory |
| title_full | Three Solutions for Fourth-Order Impulsive Differential Inclusions via Nonsmooth Critical Point Theory |
| title_fullStr | Three Solutions for Fourth-Order Impulsive Differential Inclusions via Nonsmooth Critical Point Theory |
| title_full_unstemmed | Three Solutions for Fourth-Order Impulsive Differential Inclusions via Nonsmooth Critical Point Theory |
| title_short | Three Solutions for Fourth-Order Impulsive Differential Inclusions via Nonsmooth Critical Point Theory |
| title_sort | three solutions for fourth order impulsive differential inclusions via nonsmooth critical point theory |
| url | http://dx.doi.org/10.1155/2018/1871453 |
| work_keys_str_mv | AT dongdonggao threesolutionsforfourthorderimpulsivedifferentialinclusionsvianonsmoothcriticalpointtheory AT jianlili threesolutionsforfourthorderimpulsivedifferentialinclusionsvianonsmoothcriticalpointtheory |