Remarks on Volterra Equations in Banach Spaces
Commun. Korean Math. Soc. 1997 Vol. 12, No. 4, 1039-1064
Mihi Kim
Yonsei University
Abstract : 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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