Controllability for some integrodifferential evolution equations in Banach spaces. (English) Zbl 1513.34276
Summary: In this work, we study the controllability for a class of nonlinear integrodifferential equations in Banach spaces. Using resolvent operator properties and Schaefer’s fixed point theorem, we give sufficient conditions for the controllability when the nonlinear term satisfies the Carathéodory conditions.
MSC:
34K30 | Functional-differential equations in abstract spaces |
34K35 | Control problems for functional-differential equations |
93B05 | Controllability |
45J05 | Integro-ordinary differential equations |