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Dal'nevostochnyi Matematicheskii Zhurnal, 2005, Volume 6, Number 1-2, Pages 71–81
(Mi dvmg199)
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About generalized resolvent of one integro-diferential operator of the second order on semiaxis
G. I. Sin'ko Ussuriisk State Pedagogical Institute
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
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
Linking options:
https://www.mathnet.ru/eng/dvmg199 https://www.mathnet.ru/eng/dvmg/v6/i1/p71
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Abstract page: | 229 | Full-text PDF : | 60 | References: | 38 | First page: | 1 |
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