Existence theorem for semilinear impulsive functional differential equations with nonlocal conditions

Abstract

—The existence, uniqueness and continuous dependence of a mild solution of a Cauchy problem for semilinear impulsive first and second orderfunctional differential-equations with nonlocal conditions in general Banach spaces are studied. Methods of fixed point theorems, of a ���� semigroup of operators and the Banach contraction theorem are applied.