Periodic solutions for neutral nonlinear differential equations with functional delay

We use Krasnoselskii's fixed point theorem to show that the nonlinear neutral differential equation with functional delay $$ x'(t) = -a(t)x(t)+ c(t)x'(t-g(t))+ q(t, x(t), x(t-g(t)) $$ has a periodic solution. Also, by transforming the problem to an integral equation we are able, using...

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Bibliographic Details
Main Author: Youssef N. Raffoul
Format: Article
Language:English
Published: Texas State University 2003-10-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2003/102/abstr.html