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

Abstract

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