Approximation of a bounded solution of a linear difference equation on Z<sup class="a-plus-plus">2</sup> by solutions of corresponding boundary-value problems in a Banach space

  • M. F. Gorodnii

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.
Published
25.04.1995
How to Cite
GorodniiM. F. “Approximation of a Bounded Solution of a Linear Difference Equation on Z<sup class="a-Plus-plus">2</sup&gt; By Solutions of Corresponding Boundary-Value Problems in a Banach Space”. Ukrains’kyi Matematychnyi Zhurnal, Vol. 47, no. 4, Apr. 1995, pp. 535–541, https://umj.imath.kiev.ua/index.php/umj/article/view/5453.
Section
Short communications