NDLI: THE SET OF SOLUTIONS OF INTEGRODIFFERENTIAL EQUATIONS IN BANACH SPACES

Content Provider	Scilit
Author	O’Regan, Donal Agarwal, Ravi P. Sikorska-Nowak, Aneta
Copyright Year	2008
Description	In this paper, we first prove an existence theorem for the integrodifferential equation () wheref,k,xare functions with values in a Banach spaceEand the integral is taken in the sense of Henstock–Kurzweil–Pettis. In the second part of the paper we show that the setSof all solutions of the problem () is compact and connected in $(C(I_{d}$,E),ω), where $I_{d} \subset I_{a} $ .
Related Links	https://www.cambridge.org/core/services/aop-cambridge-core/content/view/60BF920FA0E1B6B76C8628F7D75A691C/S0004972708000944a.pdf/div-class-title-the-set-of-solutions-of-integrodifferential-equations-in-banach-spaces-div.pdf
Ending Page	522
Page Count	16
Starting Page	507
ISSN	00049727
e-ISSN	17551633
DOI	10.1017/s0004972708000944
Journal	Bulletin of the Australian Mathematical Society
Issue Number	3
Volume Number	78
Language	English
Publisher	Cambridge University Press (CUP)
Publisher Date	2008-12-01
Access Restriction	Open
Subject Keyword	Bulletin of the Australian Mathematical Society Integral Equations Banach Space
Content Type	Text
Resource Type	Article
Subject	Mathematics

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THE SET OF SOLUTIONS OF INTEGRODIFFERENTIAL EQUATIONS IN BANACH SPACES