Quasilinear Evolution Integrodifferential Equations in Banach Spaces

Year 2019, Issue: 27, 11 - 21, 01.03.2019

Kamalendra Kumar Rakesh Kumar , Manoj Karnatak

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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