2019
Том 71
№ 11

All Issues

Approximation of a bounded solution of a linear difference equation on Z2 by solutions of corresponding boundary-value problems in a Banach space

Gorodnii M. F.

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Abstract

We study the problem of existence and uniqueness of solutions of boundary-value difference problems in a Banach space that correspond to a certain difference equation on Z2. We prove a theorem on approximation of the unique bounded solution of the considered equation by solutions of the corresponding boundary-value problems.

English version (Springer): Ukrainian Mathematical Journal 47 (1995), no. 4, pp 622-628.

Citation Example: Gorodnii M. F. Approximation of a bounded solution of a linear difference equation on Z2 by solutions of corresponding boundary-value problems in a Banach space // Ukr. Mat. Zh. - 1995. - 47, № 4. - pp. 535–541.

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