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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
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