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2012 On Semilinear Integro-Differential Equations with Nonlocal Conditions in Banach Spaces
Tran Dinh Ke, Valeri Obukhovskii, Ngai-Ching Wong, Jen-Chih Yao
Abstr. Appl. Anal. 2012: 1-26 (2012). DOI: 10.1155/2012/137576

Abstract

We study the abstract Cauchy problem for a class of integrodifferential equations in a Banach space with nonlinear perturbations and nonlocal conditions. By using MNC estimates, the existence and continuous dependence results are proved. Under some additional assumptions, we study the topological structure of the solution set.

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Tran Dinh Ke. Valeri Obukhovskii. Ngai-Ching Wong. Jen-Chih Yao. "On Semilinear Integro-Differential Equations with Nonlocal Conditions in Banach Spaces." Abstr. Appl. Anal. 2012 1 - 26, 2012. https://doi.org/10.1155/2012/137576

Information

Published: 2012
First available in Project Euclid: 14 December 2012

zbMATH: 1244.34082
MathSciNet: MR2903819
Digital Object Identifier: 10.1155/2012/137576

Rights: Copyright © 2012 Hindawi

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