Harmonic and subharmonic solutions of quadratic Liénard type systems with sublinearity

Chunmei Song; Qihuai Liu; Guirong Jiang

doi:10.3934/math.2021747

AIMS Mathematics (Sep 2021)

Harmonic and subharmonic solutions of quadratic Liénard type systems with sublinearity

Chunmei Song,
Qihuai Liu,
Guirong Jiang

Affiliations

Chunmei Song: 1. School of Mathematics and Computing Science, Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin University of Electronic Technology, Guilin 541004, China
Qihuai Liu: 1. School of Mathematics and Computing Science, Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin University of Electronic Technology, Guilin 541004, China 2. Center for Applied Mathematics of Guangxi (Guangxi Normal University), Guilin 541001, China
Guirong Jiang: 1. School of Mathematics and Computing Science, Guangxi Colleges and Universities Key Laboratory of Data Analysis and Computation, Guilin University of Electronic Technology, Guilin 541004, China 2. Center for Applied Mathematics of Guangxi (Guangxi Normal University), Guilin 541001, China

DOI: https://doi.org/10.3934/math.2021747
Journal volume & issue: Vol. 6, no. 11
pp. 12913 – 12928

Abstract

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In this paper, we prove the existence of harmonic solutions and infinitely many subharmonic solutions of dissipative second order sublinear differential equations named quadratic Liénard type systems. The method of the proof is based on the Poincaré-Birkhoff twist theorem.

Published in AIMS Mathematics

ISSN: 2473-6988 (Online)
Publisher: AIMS Press
Country of publisher: United States
LCC subjects: Science: Mathematics
Website: http://www.aimspress.com/journal/Math

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