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Korean Mathematical Society CKMS

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024
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Commun. Korean Math. Soc. 1997; 12(4): 1039-1064

Printed December 1, 1997

Copyright © The Korean Mathematical Society.

Remarks on Volterra Equations in Banach Spaces

Mihi Kim

Yonsei University

Abstract

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Existence and Uniqueness for Volterra equations (VE) with a weak regularity assumption on $A$, the relative closedness of $A$ are investigated by means of the Laplace transform theory. Also, (VE) are studied by means of the method of convoluted solution operator families.

Keywords: Volterra equation, a relatively closed operator, Laplace transform, a convoluted solution operator family

MSC numbers: 45D05

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