Minimal $P$-symmetric periodic solutions of nonlinear Hamiltonian systems

Shanshan Tang

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arXiv · 1606.04357

Minimal $P$-symmetric periodic solutions of nonlinear Hamiltonian systems

Shanshan Tang

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Abstract

In this paper some existence results for the minimal P-symmetric periodic solutions are proved for first order autonomous Hamiltonian systems when the Hamiltonian function is superquadratic, asymptotically linear and subquadratic. These are done by using critical points theory, Galerkin approximation procedure, Maslov $P$-index theory and its iteration inequalities.

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Shanshan Tang. 2016-06-14. Minimal $P$-symmetric periodic solutions of nonlinear Hamiltonian systems. https://arxiv.org/abs/1606.04357

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