Quasilinear Evolution Integrodifferential Equations in Banach Spaces

Abstract

Existence and uniqueness of local classical solutions of the quasilinear evolution integrodifferential equation in Banach spaces are studied. The results are demonstrated by employing the fixed point technique on C_0-semigroup of bounded linear operator. At last, we deal an example to interpret the theory.

Keywords

• Quasilinear evolution integrodifferential equation,local classical solution,-semigroups,fixed point theorem

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