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

• Veröffentlicht in: Український математичний журнал
• Datum: 2000
• 1. Verfasser: Berrone, L.R.
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2000
• Schlagworte: Статті
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/156146
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: 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.

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...