Subharmonic solutions of first order Hamiltonian systems with subquadratic condition

2016/12/24 by Shanshan Tang, Tang, Shanshan
Mathematics · #Nonlinear Partial Differential Equations #Spectral Theory in Mathematical Physics #Advanced Mathematical Physics Problems

paper · pdf · doi:10.48550/arxiv.1612.08161

Abstract

Using a homologically link theorem in variational theory and iteration inequalities of Maslov-type index, we prove the existences of a sequence of subharmonic solutions for one type of sub-quadratic non-autonomous Hamiltonian systems. Moreover, we also study the minimal period problem of some autonomous Hamiltonian systems with sub-quadratic condition.

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