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Integrable solutions of a mixed type operator equation
Authors:MA Taoudi  N Salhi
Institution:Department of Mathematics and Computer Science, Gabes University, Cité Erriadh, Zrig, 6072, Gabes, Tunisia
Abstract:In this paper we prove the existence of integrable solutions for a generalized mixed type operator equation, which contains many key integral and functional equations appearing frequently in Mathematical literature. Our main tool is a Krasnosel’skii type fixed point theorem recently proved by Latrach and Taoudi, the first author. An existence theory for a class of nonlinear transport equations is also developed.
Keywords:47H10  47H30
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