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SUO Jian-feng, GE Yu. Homoclinic solutions for a class of the second order discrete Hamiltonian systems[J]. Journal of Yunnan University: Natural Sciences Edition, 2011, 33(6): 627-633.
Citation: SUO Jian-feng, GE Yu. Homoclinic solutions for a class of the second order discrete Hamiltonian systems[J]. Journal of Yunnan University: Natural Sciences Edition, 2011, 33(6): 627-633.
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Homoclinic solutions for a class of the second order discrete Hamiltonian systems

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  • We study the existence of nontrivial homoclinic solution for the second order discrete Hamiltonian system.At first,one sequence of periodic systems is constructed with the original system.Then,under certain conditions,nontrivial 2kT-periodic solutions of these systems are got by mountain theorem.Finally,a homoclinic solution is obtained as a limit of these 2kT-periodic solutions.
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