Monotonicity of a Quadratic Lienard Equation | Zendy

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Monotonicity 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.

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