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ON NONLINEAR FREDHOLM EQUATIONS IN BANACH SPACES
Journal article   Peer reviewed

ON NONLINEAR FREDHOLM EQUATIONS IN BANACH SPACES

Mostafa Bachar and Mohamed Amine Khamsi
Journal of nonlinear and convex analysis, Vol.17(11), pp.2215-2223
01/01/2016

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this work, we discuss the existence of solutions to the Fredholm integral equation x(t) = g(t) + integral(1)(0) f(t, s, x(s))ds, in the spaces C(I), L-P(I) (1 <= p < + infinity) and L-infinity (I). The results obtained seem to be new and improve on known similar results.

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