A class of BVPS for second-order impulsive integro-differential equations of mixed type in Banach space

摘要

This paper is concerned with a class of boundary value problems for the nonlinear mixed impulsive integro-differential equations with the derivative u and deviating arguments in Banach space by using the cone theory and upper and lower solutions method together with monotone iterative technique. Sufficient conditions are established for the existence of extremal solutions of the given problem.