Subharmonic solutions and minimal periodic solutions of first-order variant subquadratic Hamiltonian systems

Shanshan Tang; Xiaofei Zhang

doi:10.12775/TMNA.2019.105

Abstract

Using the homological link theorem and iteration inequalities of Maslov-type index, we prove the multiplicity of subharmonic solutions for some variant subquadratic non-autonomous Hamiltonian systems. Moreover, the minimal period problem has also been considered for the variant subquadratic autonomous Hamiltonian systems.

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Shanshan Tang and Xiaofei Zhang "Subharmonic solutions and minimal periodic solutions of first-order variant subquadratic Hamiltonian systems," Topological Methods in Nonlinear Analysis 55(2), 517-532, (2020). https://doi.org/10.12775/TMNA.2019.105

Published: 2020

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