Resolvent kernels that constitute an approximation of the identity and linear heat-transfer problems

Sufficient conditions are obtained for a Volterra integral equation whose kernel depends on an increasing parameter a to admit an approximation of the identity with respect to a in the form of a resolvent kernel. In this case, the solution of the integral equation tends to zero as a tends to infinit...

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Bibliographic Details
Date:2000
Main Author: Berrone, L.R.
Format: Article
Language:English
Published: Інститут математики НАН України 2000
Series:Український математичний журнал
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Online Access:http://dspace.nbuv.gov.ua/handle/123456789/156146
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Resolvent kernels that constitute an approximation of the identity and linear heat-transfer problems / L.R. Berrone // Український математичний журнал. — 2000. — Т. 52, № 2. — С. 165–182. — Бібліогр.: 18 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine