Multiplicity of subharmonic solutions and periodic solutions of a particular type of super-quadratic Hamiltonian systems

Xiao-Fei  Zhang; Fei  Guo

doi:10.3934/cpaa.2016005

Article Contents

2016, Volume 15, Issue 5: 1625-1642. Doi: 10.3934/cpaa.2016005

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Multiplicity of subharmonic solutions and periodic solutions of a particular type of super-quadratic Hamiltonian systems

Xiao-Fei Zhang¹ and
Fei Guo^1,

1.
Department of Mathematics, School of Science, Tianjin University, Tianjin 300072

Received: March 2015

Revised: August 2015

Published: September 2016

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Abstract

This paper considers the Hamiltonian systems with new generalized super-quadratic conditions. Using the variational principle and critical point theory, we obtain infinitely many distinct subharmonic solutions and an unbounded sequence of periodic solutions.

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Mathematics Subject Classification: Primary: 58F15, 58F17; Secondary: 53C35.

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