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THE SET OF SOLUTIONS OF INTEGRODIFFERENTIAL EQUATIONS IN BANACH SPACES
Published online by Cambridge University Press: 01 December 2008
Abstract
In this paper, we first prove an existence theorem for the integrodifferential equation (*)where f,k,x are functions with values in a Banach space E and the integral is taken in the sense of Henstock–Kurzweil–Pettis. In the second part of the paper we show that the set S of all solutions of the problem (*) is compact and connected in (C(Id,E),ω), where .
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- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 78 , Issue 3 , December 2008 , pp. 507 - 522
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- Copyright © 2009 Australian Mathematical Society
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