×

zbMATH — the first resource for mathematics

Existence for a nonlinear impulsive functional integrodifferential equation with nonlocal conditions in Banach spaces. (English) Zbl 1235.34204
Summary: We consider the existence of mild solutions for a certain class of nonlinear impulsive functional evolution integrodifferential equation with nonlocal conditions in Banach spaces. A sufficient condition is established by using Schaefer’s fixed point theorem combined with an evolution system. An example is also given to illustrate our result.

MSC:
34K30 Functional-differential equations in abstract spaces
34K45 Functional-differential equations with impulses
34K10 Boundary value problems for functional-differential equations
47N20 Applications of operator theory to differential and integral equations
PDF BibTeX XML Cite