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Convergence for Hyperbolic Singular Perturbation of Integrodifferential Equations

Journal of Inequalities and Applications volume 2007, Article number: 080935 (2007) Cite this article

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 and Affiliations

  1. Department of Mathematics, University of Science and Technology of China, Hefei, 230026, China

    Jin Liang & Ti-Jun Xiao

  2. Department of Mathematics and Statistics, James Madison University, Harrisonburg, VA, 22807, USA

    James Liu

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  1. Jin Liang
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  2. James Liu
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  3. Ti-Jun Xiao
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Correspondence to Jin Liang.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License (https://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Liang, J., Liu, J. & Xiao, TJ. Convergence for Hyperbolic Singular Perturbation of Integrodifferential Equations. J Inequal Appl 2007, 080935 (2007). https://doi.org/10.1155/2007/80935

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