Bounded in the mean solutions of a second-order difference equation
Open Access
- 9 September 2021
- journal article
- research article
- Published by VTeX in Modern Stochastics: Theory and Applications
- Vol. 8 (4), 465-473
- https://doi.org/10.15559/21-vmsta189
Abstract
Publisher: VTeX - Solutions for Science Publishing, Journal: Modern Stochastics - Theory and Applications, Title: Bounded in the mean solutions of a second-order difference equation, Authors: Mykhailo Horodnii, Victoriia Kravets , Sufficient conditions are given for the existence of a unique bounded in the mean solution to a second-order difference equation with jumps of operator coefficients in a Banach space. The question of the proximity of this solution to the stationary solution of the corresponding difference equation with constant operator coefficients is studied.Keywords
This publication has 2 references indexed in Scilit:
- On Bounded Solutions of a Difference Equation with Jumps of the Operator CoefficientJournal of Mathematical Sciences, 2018
- Linear Difference Equation of Second Order in a Banach Space and Operators SplittingIzvestiya of Saratov University. New Series. Series: Mathematics. Mechanics. Informatics, 2017