Bounded in the mean solutions of a second-order difference equation
(2025): YY2025, pp. 1–9
Pub. online: 9 September 2021
Type: Research Article
Open Access
Open Access
Received
9 June 2021
9 June 2021
Revised
9 August 2021
9 August 2021
Accepted
17 August 2021
17 August 2021
Published
9 September 2021
9 September 2021
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.
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