Subharmonic solutions of first order Hamiltonian systems with subquadratic condition

Shanshan Tang

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arXiv · 1612.08161

Subharmonic solutions of first order Hamiltonian systems with subquadratic condition

Shanshan Tang

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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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Shanshan Tang. 2016-12-24. Subharmonic solutions of first order Hamiltonian systems with subquadratic condition. https://arxiv.org/abs/1612.08161

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