×

Impulsive functional-differential equations with nonlocal conditions. (English) Zbl 1005.34072

Summary: The existence, uniqueness, and continuous dependence of a mild solution to an impulsive functional-differential evolution nonlocal Cauchy problem in general Banach spaces are studied. Methods of fixed-point theorems, of a \(C_{0}\) semigroup of operators and the Banach contraction theorem are applied.

MSC:

34K45 Functional-differential equations with impulses
34K30 Functional-differential equations in abstract spaces