# Positive periodic solutions of singular first order difference equations

O. Omar, M. Mohamed, and S. Muhammad

Abstract:

In this paper, we employ Kranoselskii fixed point theorem and obtain sufficient conditions for the existence and multiplicity of positive periodic solution to the singular first order difference equation $$\Delta x(k)=-a(k)x(k)+\lambda b(k)f(x(k)),\ \ k\in \mathbb{Z}.$$

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