### Far Eastern Mathematical Journal

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

G. I. Sin'ko

2005, issue 1-2, Ñ. 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