Open Access

Convergence for Hyperbolic Singular Perturbation of Integrodifferential Equations

Journal of Inequalities and Applications20072007:080935

https://doi.org/10.1155/2007/80935

Received: 18 March 2007

Accepted: 26 June 2007

Published: 2 August 2007

Abstract

By virtue of an operator-theoretical approach, we deal with hyperbolic singular perturbation problems for integrodifferential equations. New convergence theorems for such singular perturbation problems are obtained, which generalize some previous results by Fattorini (1987) and Liu (1993).

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Authors’ Affiliations

(1)
Department of Mathematics, University of Science and Technology of China
(2)
Department of Mathematics and Statistics, James Madison University

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Copyright

© Jin Liang et al. 2007

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.