Multiplicity of periodic solutions for weakly coupled parametrized systems with singularities-Reference-Cited by-同舟云学术

Multiplicity of periodic solutions for weakly coupled parametrized systems with singularities

Published:2023 Issue:6 Volume:31 Page:3594-3608
ISSN:2688-1594
Container-title:Electronic Research Archive
language:
Short-container-title:era

Author:

Wang Shuang¹,Liu Chunlian²

Affiliation:

1. School of Mathematics and Statistics, Yancheng Teachers University, Yancheng 224051, China

2. School of Science, Nantong University, Nantong 226019, China

Abstract

<abstract><p>We prove the existence of multiple periodic solutions for weakly coupled parametrized systems with a singularity of repulsive type at the origin and linear growth at infinity. The proof is based on a higher dimensional Poincaré-Birkhoff theorem and the phase-plane analysis of the solutions.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

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