Solution of a discrete matrix equation with second-order difference and single delay

Josef Diblík

Applied Mathematics and Computation, 2026, vol. 508, issue C

Abstract: A linear non-homogeneous discrete matrix equation with second-order difference and single delay is analyzed. If certain commutativity conditions are fulfilled, the solution of the initial problem can be written in a matrix form by using two types of discrete matrix functions, defined in advance. The results achieved previously are discussed with some new open problems suggested.

Keywords: Second-order difference; Discrete matrix equation; Single delay; General solution; Initial problem; Explicit solution (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:508:y:2026:i:c:s0096300325003339

DOI: 10.1016/j.amc.2025.129607

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