Open AccessHarmonic and subharmonic solutions of quadratic Liénard type systems with sublinearity
Author(s) -
Caixia Song,
Qihuai Liu,
Guirong Jiang
Publication year - 2021
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2021747
Subject(s) - sublinear function , subharmonic , mathematics , type (biology) , dissipative system , liénard equation , harmonic , quadratic equation , order (exchange) , mathematical analysis , twist , pure mathematics , physics , differential equation , ordinary differential equation , nonlinear system , geometry , quantum mechanics , differential algebraic equation , ecology , finance , economics , biology
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.