Quasilinear Evolution Integrodifferential Equations in Banach Spaces

Authors : Kamalendra Kumar, Rakesh Kumar, Manoj Karnatak

Pages : 11-21

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Publication Date : 2019-03-01

Article Type : Research

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