Minimal P-symmetric periodic solutions of nonlinear Hamiltonian systems

2016/06/14 by Shanshan Tang, Tang, Shanshan
Mathematics · #34C25 #58E05 #58F05 #58F10 #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Differential Equations Analysis #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics

paper · pdf · doi:10.48550/arxiv.1606.04357

openalex publication_date 2016/06/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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.

Citations

• Maslov P-Index Theory for a Symplectic Path with Applications*

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