Electron. J. Diff. Equ., Vol. 2012 (2012), No. 14, pp. 1-6.

Positive periodic solutions for second-order neutral differential equations with functional delay

Ernest Yankson

Abstract:
We use Krasnoselskii's fixed point theorem to prove the existence of positive periodic solutions of the second-order nonlinear neutral differential equation
$$ \frac{d^2}{dt^2}x(t)+p(t)\frac{d}{dt}x(t)+q(t)x(t) =c\frac{d}{dt}x(t-\tau(t))+f(t,h(x(t)),g(x(t-\tau(t)))). $$

Submitted November 1, 2011. Published January 20, 2012.
Math Subject Classifications: 34K20, 45J05, 45D05.
Key Words: Neutral equation; positive periodic solution.

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Ernest Yankson
Department of Mathematics and Statistics
University of Cape Coast, Ghana
email: ernestoyank@yahoo.com

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