Existence of periodic solutions for neutral nonlinear differential equations with variable delay

We use a variation of Krasnoselskii fixed point theorem introduced by Burton to show that the nonlinear neutral differential equation $$ x'(t)=-a(t)x^3(t)+c(t)x'(t-g(t))+G(t,x^3(t-g(t)) $$ has a periodic solution. Since this equation is nonlinear, the variation of parameters can not...

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Bibliographic Details
Main Authors: Deham Hafsia, Djoudi Ahcene
Format: Article
Language:English
Published: Texas State University 2010-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2010/127/abstr.html