Existence and uniqueness of periodic solutions for a kind of Duffing equation with two deviating arguments

Authors:
Lequn Peng
Affiliations:
Department of Mathematics, Hunan University of Arts and Science, Changde 415000, PR China
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
2007

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Periodic solutions for a Liénard type p-Laplacian differential equation

Journal of Computational and Applied Mathematics
Explicit and exact solutions to cubic Duffing and double-well Duffing equations

Mathematical and Computer Modelling: An International Journal

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Abstract

In this paper, we use the coincidence degree theory to establish new results on the existence and uniqueness of T-periodic solutions for a kind of Duffing equation with two deviating arguments of the form x^''+Cx^'(t)+g"1(t,x(t-@t"1(t)))+g"2(t,x(t-@t"2(t)))=p(t).