Open AccessMonotonicity of a Quadratic Lienard Equation
Publication year - 2020
Publication title -
international journal of applied mathematics and informatics
Language(s) - English
Resource type - Journals
ISSN - 2074-1278
DOI - 10.46300/91014.2020.14.9
Subject(s) - monotonic function , quadratic equation , function (biology) , mathematics , liénard equation , period (music) , quadratic function , order (exchange) , pure mathematics , mathematical analysis , differential equation , economics , exact differential equation , physics , ordinary differential equation , finance , geometry , evolutionary biology , acoustics , biology
We study the period function of the quadratic Lienard equation of a certain type in order to give necessary and sufficient conditions for monotonicity and isochronicty of the period function. We apply this result to identify the region of monotonicity of the period function of particular cases.