Opuscula Math. 34, no. 3 (2014), 469-481
On the existence of positive periodic solutions for totally nonlinear neutral differential equations of the second-order with functional delay
Emmanuel K. Essel
Ernest Yankson
Abstract.
We prove that the totally nonlinear second-order neutral differential equation \[\frac{d^2}{dt^2}x(t)+p(t)\frac{d}{dt}x(t)+q(t)h(x(t))\] \[=\frac{d}{dt}c(t,x(t-\tau(t)))+f(t,\rho(x(t)),g(x(t-\tau(t))))\] has positive periodic solutions by employing the Krasnoselskii-Burton hybrid fixed point theorem.
Keywords:
Krasnoselskii, neutral, positive periodic solution.
Mathematics Subject Classification:
34K20, 45J05, 45D05.
About the authors ▼
Emmanuel K. Essel
University of Cape Coast, Department of Mathematics and Statistics, Cape Coast, Ghana
Ernest Yankson
University of Cape Coast, Department of Mathematics and Statistics, Cape Coast, Ghana
About the article ▼
Received: 2013-05-23.
Revised: 2014-02-07.
Accepted: 2014-02-14.
Cite this article as ▼
Emmanuel K. Essel, Ernest Yankson, On the existence of positive periodic solutions for totally nonlinear neutral differential equations of the second-order with functional delay, Opuscula Math. 34, no. 3 (2014), 469-481,
http://dx.doi.org/10.7494/OpMath.2014.34.3.469.
Download this article's citation as: