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Existence of solutions of nonlinear neutral integrodifferential equations in Banach spaces. (English) Zbl 0966.45008

The authors prove an existence theorem for a nonlinear neutral integrodifferential equation in a Banach space. The main part of the equation is the infinitesimal operator that generates a strongly continuous semigroup of bounded linear operators in a Banach space. The results are obtained by using the Schaefer fixed point theorem.

MSC:

45N05 Abstract integral equations, integral equations in abstract spaces
45J05 Integro-ordinary differential equations
45G10 Other nonlinear integral equations
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References:

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