Abstract
The problem of the existence and uniqueness of solutions is studied for boundary-value difference problems corresponding to a certain linear difference equation in a Banach space.
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References
M. F. Gorodnii, “Bounded and periodic solutions of a difference equation and its stochastic analog in a Banach space,”Ukr. Mat. Zh.,41, No. 1, 41–46 (1991).
A. Ya. Dorogovtsev, “Stationary and periodic solutions of a stochastic difference equation in a Banach space,”Teor. Ver. Mat. Statist., Issue 42, 35–42 (1990).
M. F. Gorodnii, “Approximation of the bounded solution of a difference equation by solutions of the corresponding boundary-value problems in a Banach space,”Mat. Zametki,51, No. 4, 17–22 (1992).
L. A. Lyusternik and L. I. Sobolev,A Brief Course of Functional Analysis [in Russian], Vysshaya Shkola, Moscow (1982).
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 3, pp. 431–435, March, 1993.
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Gorodnii, M.F. Existence of solutions of boundary-value problems corresponding to a certain difference equation in a Banach space. Ukr Math J 45, 461–465 (1993). https://doi.org/10.1007/BF01061019
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DOI: https://doi.org/10.1007/BF01061019