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Research Article Open access CC BY 4.0

Existence of Coupled Quasi-solutions of Nonlinear Integro-Differential Equations of Volterra Type in Banach Spaces

Yan Liang

Journal of Advances in Mathematics and Computer Science · pp. 471–478 · Published 14 Nov 2014

10.9734/BJMCS/2015/13726

Abstract

We study an initial value problem for a class of integro-differential equations of Volterra type in a real Banach space. Using method of upper and lower solutions and M¨onch and Von Harten theorem, we obtain an existence theorem of coupled quasi-solutions, which is an extension of those established by Y. Chen and W. Zhuang in [1].

Banach space measure of noncompactness lower and upper solutions normal cone Quasi-solution

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