Positive periodic solutions in neutral nonlinear differential equations

Y. Raffoul, University of Dayton, Dayton, U.S.A.

E. J. Qualitative Theory of Diff. Equ., No. 16. (2007), pp. 1-10.

Abstract: We use Krasnoselskii's fixed point theorem to show that the nonlinear neutral differential equation with delay
\begin{equation}
\frac{d}{dt}[x(t) - ax(t-\tau)]= r(t)x(t)- f(t, x(t-\tau))
\end{equation}
has a positive periodic solution. An example will be provided as an application to our theorems.

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