FAR EASTERN BRANCH OF THE RUSSIAN ACADEMY OF SCIENCES
INSTITUTE OF APPLIED MATHEMATICS KHABAROVSK DIVISION
Far Eastern Mathematical Journal
About generalized resolvent of one integro-diferential operator of the second order on semiaxis |
G. I. Sin'ko |
2005, issue 1-2, P. 71–81 |
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 $\lambda$. |
Keywords: integro-differential operator, generalized resolvents |
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References |
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