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

Shanshan Tang, Xiaofei Zhang

DOI: http://dx.doi.org/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.

Keywords


Hamiltonian system; Maslov-type index; homological link; subharmonic solution; minimal period

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