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Topological Methods in Nonlinear Analysis

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

Authors

  • Shanshan Tang
  • Xiaofei Zhang

Keywords

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

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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Published

2020-06-07

How to Cite

1.
TANG, Shanshan and ZHANG, Xiaofei. Subharmonic solutions and minimal periodic solutions of first-order variant subquadratic Hamiltonian systems. Topological Methods in Nonlinear Analysis. Online. 7 June 2020. Vol. 55, no. 2, pp. 517 - 532. [Accessed 1 July 2025].
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