Abstract

In this paper we use Krasnoselskii's fixed point theorem to establish the existence of at least one positive solution $y \in L^{p}[0,T]$ of the integral equation $y(t) = h(t) + \int\limits _{0}^{T}k(t,s)f(s,y(s)) \, ds,$ a.e. $t \in [0,T]$ and related equations.

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