Weakly singular functional-integral equation in infinite dimensional Banach spaces

摘要

The existence of Lp(Ω,E), E to be a Banach space and Ω be a bounded closed subset in the Euclidean space Rn, of a weakly singular functional-integral equation has been established. The notation of measure of noncompactness and Mönch’s fixed point theorem are the main tools in our analysis.