Periodic solutions of some classes of continuous second-order differential equations | Zendy

Jaume Llibre | Zendy; Amar Makhlouf | Zendy

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Periodic solutions of some classes of continuous second-order differential equations

Author(s) -

Jaume Llibre,

Amar Makhlouf

Publication year - 2016

Publication title -

discrete and continuous dynamical systems - b

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.864

H-Index - 53

eISSN - 1553-524X

pISSN - 1531-3492

DOI - 10.3934/dcdsb.2017022

Subject(s) - lipschitz continuity , order (exchange) , differential equation , continuous function (set theory) , function (biology) , mathematics , mathematical analysis , combinatorics , mathematical physics , physics , finance , evolutionary biology , economics , biology

We study the periodic solutions of the second--order differential equations of the form x x^n = f(t), or x $^ n = f(t) are only continuous in t and locally--Lipschitz in x. ^ n = f(t), where n=4,5, f(t) is a continuous T--periodic function such that _0^T f(t)dt 0, and is a positive small parameter. Note that the differential equations x x^n = f(t) are only continuous in t and smooth in x, and that the differential equations

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