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Periodic solutions of a class of superquadratic second order Hamiltonian systems

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Abstract

In this paper, a sufficient condition for the periodic solution with prescribed period for a class of superquadratic second order Hamiltonian systems \(\ddot x + Ax + \nabla F\left( x \right) = 0\) is obtained by using the critical point theory, where A≠0 and is an n×n real symmetric matrix and is nondefinite.

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Qun, Y., Deqing, L. Periodic solutions of a class of superquadratic second order Hamiltonian systems. Appl. Math. Chin. Univ. 15, 259–266 (2000). https://doi.org/10.1007/s11766-000-0049-9

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  • DOI: https://doi.org/10.1007/s11766-000-0049-9

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