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. 
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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/

[1] A. B. Antonevich, E. V. Panteleeva, “Right-side Hyperbolic operators”, Ser. A: Appl. Math. Inform. and Mech., 6:1 (2014), 1–9 | DOI

[2] A. B. Antonevich, E. V. Panteleeva, “Pravostoronnie rezolventy diskretnykh operatorov vzveshennogo sdviga s matrichnymi vesami”, Problemy fiziki, matematiki i tekhniki, 16:3 (2013), 45–53 | Zbl

[3] A. B. Antonevich, A. A. Akhmatova, “Spektralnye svoistva diskretnogo operatora vzveshennogo sdviga”, Trudy instituta matematiki, 2:1 (2012), 14–21

[4] A. B. Katok, B. Khasselblat, Vvedenie v sovremennuyu teoriyu dinamicheskikh sistem, Faktorial, M., 1999, 775 pp.

[5] V. A. Sadovnichii, Teoriya operatorov, M., 1999, 368 pp. | MR

[6] F. Riss, B. Sekefalvi-Nad, Lektsii po funktsionalnomu analizu, M., 1954, 500 pp.