Existence and uniqueness of mild and strong solutions of nonlinear volterra integrodifferential equations in Banach spaces

H. L. Tidke, M. B. Dhakne
2010 Demonstratio Mathematica  
AbstractIn this paper we prove the existence and uniqueness of mild and strong solutions of a nonlinear Volterra integrodifferential equation with nonlocal condition. Our analysis is based on semigroup theory and Banach fixed point theorem and inequalities are established by Gronwall and B. G. Pachpatte.
doi:10.1515/dema-2013-0253 fatcat:iboniayarnfcbovcr6ixg4c6dq