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 |