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Positive periodic solutions in neutral nonlinear differential equations

By Youssef N. Raffoul

Abstract

We use Krasnoselskii’s fixed point theorem to show that the nonlinear neutral differential equation with delay d [x(t) − ax(t − τ)] = r(t)x(t) − f(t,x(t − τ)) dt has a positive periodic solution. An example will be provided as an application to our theorems

Topics: Krasnoselskii, Neutral, Nonlinear, Positive periodic solutions
Year: 2007
OAI identifier: oai:CiteSeerX.psu:10.1.1.417.4773
Provided by: CiteSeerX
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