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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Received: 12.11.1999
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Meehan, M., O'Regan, D. Positive Lp solutions of Hammerstein integral equations. Arch. Math. 76, 366–376 (2001). https://doi.org/10.1007/PL00000446
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DOI: https://doi.org/10.1007/PL00000446