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2010 LOCAL EXISTENCE OF SOME NONLINEAR VOLTERRA INTEGRODIFFERENTIAL EQUATIONS WITH INFINITE DELAY
Jung-Chan Chang, Cheng-Lien Lang, Chun-Liang Shih, Chien-Ning Yeh
Taiwanese J. Math. 14(1): 131-152 (2010). DOI: 10.11650/twjm/1500405732

Abstract

The paper will investigate the local existence, uniqueness of solution to integrodifferential equations with infinite delay. We assume that the linear part is not necessarily densely defined and satisfies a Hille-Yosida condition. Moreover, the continuity of solutions with respect to initial conditions is also studied.

Citation

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Jung-Chan Chang. Cheng-Lien Lang. Chun-Liang Shih. Chien-Ning Yeh. "LOCAL EXISTENCE OF SOME NONLINEAR VOLTERRA INTEGRODIFFERENTIAL EQUATIONS WITH INFINITE DELAY." Taiwanese J. Math. 14 (1) 131 - 152, 2010. https://doi.org/10.11650/twjm/1500405732

Information

Published: 2010
First available in Project Euclid: 18 July 2017

zbMATH: 1207.34095
MathSciNet: MR2603447
Digital Object Identifier: 10.11650/twjm/1500405732

Subjects:
Primary: 34G20 , 34K30 , 45N05
Secondary: 45K05 , 46N20

Keywords: Hille-Yosida operator , Hille-Yosida operator , infinite delay , integrodifferential equation , phase space

Rights: Copyright © 2010 The Mathematical Society of the Republic of China

Vol.14 • No. 1 • 2010
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