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ISSN 1817-2172, рег. Эл. № ФС77-39410, ВАК

Differential Equations and Control Processes
(Differencialnie Uravnenia i Protsesy Upravlenia)

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Existence of Solutions of Quasilinear Mixed Volterra-fredholm Integrodifferential Equations with Nonlocal Conditions

Author(s):

Kamalendra Kumar

Department of Mathematics,
SRMS CET,
Bareilly-243001,
India

kamlendra.14kumar@gmail.com

Rakesh Kumar

Department of Mathematics,
Hindu College,
Moradabad-244 001,
India

rakeshnaini1@gmail.com

Abstract:

In this paper we establish the existence and uniqueness of mild and classical solutions of quasilinear mixed Volterra-Fredholm integrodifferential equation with nonlocal condition in Banach space. The results are established by using the semigroup theory and Banach fixed point theorem.

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