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2007 EXISTENCE AND ASYMPTOTIC STABILITY OF SOLUTIONS TO A FUNCTIONAL-INTEGRAL EQUATION
Zeqing Liu, Shin Min Kang
Taiwanese J. Math. 11(1): 187-196 (2007). DOI: 10.11650/twjm/1500404645

Abstract

Using the Darbo’s fixed-point theorem associated with the measure of noncompactness due to Banaś, we establish the existence and asymptotic stability of solutions for a functional-integral equation. An example which shows the importance of our result is also included.

Citation

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Zeqing Liu. Shin Min Kang. "EXISTENCE AND ASYMPTOTIC STABILITY OF SOLUTIONS TO A FUNCTIONAL-INTEGRAL EQUATION." Taiwanese J. Math. 11 (1) 187 - 196, 2007. https://doi.org/10.11650/twjm/1500404645

Information

Published: 2007
First available in Project Euclid: 18 July 2017

zbMATH: 1145.45003
MathSciNet: MR2304015
Digital Object Identifier: 10.11650/twjm/1500404645

Subjects:
Primary: 45G10 , 47H10

Keywords: asymptotic stability , Darbo's fixed-point theorem , functional-integral equation , measure of noncompactness

Rights: Copyright © 2007 The Mathematical Society of the Republic of China

Vol.11 • No. 1 • 2007
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