Periodic solutions for neutral nonlinear differential equations with functional delay

Date

2003-10-06

Authors

Raffoul, Youssef N.

Journal Title

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Volume Title

Publisher

Southwest Texas State University, Department of Mathematics

Abstract

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

Description

Keywords

Krasnoselskii, Neutral, Nonlinear, Integral equations, Periodic solutions, Unique solutions

Citation

Raffoul, Y. N. (2003). Periodic solutions for neutral nonlinear differential equations with functional delay. <i>Electronic Journal of Differential Equations, 2003</i>(102), pp. 1-7.

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Attribution 4.0 International

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