Periodic solutions for neutral nonlinear differential equations with functional delay
Date
2003-10-06
Authors
Raffoul, Youssef N.
Journal Title
Journal ISSN
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.
Rights
Attribution 4.0 International