Geodesic
About generalized resolvent of one integro-diferential operator of the second order on semiaxis
Dalʹnevostočnyj matematičeskij žurnal, Tome 6 (2005) no. 1, pp. 71-81

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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 $\lambda$. 
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     author = {G. I. Sin'ko},
     title = {About generalized resolvent of one integro-diferential operator of the second order on semiaxis},
     journal = {Dalʹnevosto\v{c}nyj matemati\v{c}eskij \v{z}urnal},
     pages = {71--81},
     publisher = {mathdoc},
     volume = {6},
     number = {1},
     year = {2005},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/DVMG_2005_6_1_a5/}
}
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G. I. Sin'ko. About generalized resolvent of one integro-diferential operator of the second order on semiaxis. Dalʹnevostočnyj matematičeskij žurnal, Tome 6 (2005) no. 1, pp. 71-81. http://geodesic.mathdoc.fr/item/DVMG_2005_6_1_a5/