Existence of solutions for nonlinear mixed type integro-differential functional evolution equations with nonlocal conditions

摘要

Using the Mönch fixed point theorem, this article proves the existence of mild solutions for nonlinear mixed type integro-differential functional evolution equations with nonlocal conditions in Banach spaces. Some restricted conditions on a priori estimation and measure of noncompactness estimation have been deleted, and compactness conditions of evolution operators or compactness conditions on a nonlinear term f ( t , X r , X r , X r ) have been weakened. Our results extend and improve many known results. MSC:34G20, 34K30.