English

Explicit solution of second-order delayed discrete equations

Dynamical Systems 2025-02-28 v1

Abstract

A system of inhomogeneous second-order difference equations with linear parts given by noncommutative matrix coefficients are considered. Closed form of its solution is derived by means of newly defined delayed matrix sine/cosine using the Z-transform and determining function.

Keywords

Cite

@article{arxiv.2502.19814,
  title  = {Explicit solution of second-order delayed discrete equations},
  author = {Nazim I. Mahmudov},
  journal= {arXiv preprint arXiv:2502.19814},
  year   = {2025}
}
R2 v1 2026-06-28T21:59:43.396Z