Bounded in the mean solutions of a second-order difference equation

Mykhailo Horodnii, Victoriia Kravets
2021 Modern Stochastics: Theory and Applications  
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 Difference equation, bounded in the mean solution, stationary solution, proximity of solutions 2010 MSC 60H99, 39A10
doi:10.15559/21-vmsta189 fatcat:daxwqdgsmvek3jaszju57s2oxe