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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2014
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/1411.2338 |
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| _version_ | 1866912489470427136 |
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| author | Ding, Liang Wei, Jinlong |
| author_facet | Ding, Liang Wei, Jinlong |
| contents | By a new orthogonal direct sum decomposition $E_{M} = Y \oplus Z$, which $Z$ is related to $Δu_i(i=1,2,3,....,M)$, and a new functional $I(u)$, the method in [2] is improved to obtain new multiple periodic solutions with negativity hypothesis on $F$ for a second-order discrete Hamiltonian system. Moreover, we exhibit an instructive example to make our result more clear, which hasn't been solved by the known results. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1411_2338 |
| institution | arXiv |
| publishDate | 2014 |
| record_format | arxiv |
| spellingShingle | Notes on Multiple Periodic Solutions for Second-order Discrete Hamiltonian System Ding, Liang Wei, Jinlong Analysis of PDEs 34K13, 47J25, 34L30 By a new orthogonal direct sum decomposition $E_{M} = Y \oplus Z$, which $Z$ is related to $Δu_i(i=1,2,3,....,M)$, and a new functional $I(u)$, the method in [2] is improved to obtain new multiple periodic solutions with negativity hypothesis on $F$ for a second-order discrete Hamiltonian system. Moreover, we exhibit an instructive example to make our result more clear, which hasn't been solved by the known results. |
| title | Notes on Multiple Periodic Solutions for Second-order Discrete Hamiltonian System |
| topic | Analysis of PDEs 34K13, 47J25, 34L30 |
| url | https://arxiv.org/abs/1411.2338 |