Infinitely many homoclinic solutions for second order Hamiltonian systems |
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Authors: | Qingye Zhang |
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Affiliation: | a School of Mathematical Science, Nankai University, Tianjin 300071, People’s Republic of China b School of Mathematical Science and LPMC, Nankai University, Tianjin 300071, People’s Republic of China |
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Abstract: | In this paper we study the existence of infinitely many homoclinic solutions for second order Hamiltonian systems , , where L(t) is unnecessarily positive definite for all t∈R, and W(t,u) is of subquadratic growth as |u|→∞. |
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Keywords: | 37J45 58E05 34C37 70H05 |
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