Geodesic
Resolvent of boundary value problem for the difference equation
Problemy fiziki, matematiki i tehniki, no. 3 (2016), pp. 70-75

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Boundary value problem for the difference equation $a(k)u(k+1)-\lambda u(k)=f(k)$ with spectral parameter $\lambda$ is considered. The condition of the existence of the right sided resolvents of the above problem in the space $l_2(\mathbb{Z})$ is given. The resolvent is constructed.
Keywords: right-side resolvent, discrete weighted shift operator, Risze projection. 
@article{PFMT_2016_3_a11,
     author = {Ali A. Shukur and O. A. Arhipenko},
     title = {Resolvent of boundary value problem for the difference equation},
     journal = {Problemy fiziki, matematiki i tehniki},
     pages = {70--75},
     publisher = {mathdoc},
     number = {3},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PFMT_2016_3_a11/}
}
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Ali A. Shukur; O. A. Arhipenko. Resolvent of boundary value problem for the difference equation. Problemy fiziki, matematiki i tehniki, no. 3 (2016), pp. 70-75. http://geodesic.mathdoc.fr/item/PFMT_2016_3_a11/