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Dal'nevostochnyi Matematicheskii Zhurnal, 2005, Volume 6, Number 1-2, Pages 71–81 (Mi dvmg199)  

About generalized resolvent of one integro-diferential operator of the second order on semiaxis

G. I. Sin'ko

Ussuriisk State Pedagogical Institute
References:
Abstract: In this article a symmetrical integro-differential operator of the second order on semiaxis is considered. Its quasiselfadjoint extension is described, and the formula for all generalized resolvents of this operator in $L^2(0,+\infty)$ is constructed. It also prooves that any generalized resolvent $R_\lambda$ is an integral operator for any nonreal $\lambda$.
Key words: integro-differential operator, generalized resolvents.
Received: 02.05.2005
Bibliographic databases:
Document Type: Article
UDC: 517.984
MSC: 47G20
Language: Russian
Citation: G. I. Sin'ko, “About generalized resolvent of one integro-diferential operator of the second order on semiaxis”, Dal'nevost. Mat. Zh., 6:1-2 (2005), 71–81
Citation in format AMSBIB
\Bibitem{Sin05}
\by G.~I.~Sin'ko
\paper About generalized resolvent of one integro-diferential operator of the second order on semiaxis
\jour Dal'nevost. Mat. Zh.
\yr 2005
\vol 6
\issue 1-2
\pages 71--81
\mathnet{http://mi.mathnet.ru/dvmg199}
\elib{https://elibrary.ru/item.asp?id=15484726}
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