On the solvability of a nonlinear functional integral equations via measure of noncompactness in

Wagdy G. El-Sayed, Mahmoud M. El-Borai, Mohamed M.A. Metwali, Nagwa I. Shemais
2020 JOURNAL OF ADVANCES IN MATHEMATICS  
Using the technique of a suitable measure of non-compactness and the Darbo fixed point theorem, we investigate the existence of a nonlinear functional integral equation of Urysohn type in the space of Lebesgue integrable functions Lp(RN). In this space, we show that our functional-integral equation has at least one solution. Finally, an example is also discussed to indicate the natural realizations of our abstract result.
doi:10.24297/jam.v19i.8885 fatcat:jig5kezmgvcmndafx23sqpuz6y