Publication result detail

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

DIBLÍK, J.

Original Title

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

English Title

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

Type

WoS Article

Original 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.

English 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

Key words in English

Second-order difference; Discrete matrix equation; Single delay; General solution; Initial problem; Explicit solution

Authors

DIBLÍK, J.

Released

01.01.2026

Periodical

APPLIED MATHEMATICS AND COMPUTATION

Volume

508

Number

1

State

United States of America

Pages from

1

Pages to

11

Pages count

11

URL

https://www.sciencedirect.com/science/article/pii/S0893965920301026

BibTex

@article{BUT199069,
  author="Josef {Diblík}",
  title="Solution of a discrete matrix equation with second-order difference and single delay",
  journal="APPLIED MATHEMATICS AND COMPUTATION",
  year="2026",
  volume="508",
  number="1",
  pages="1--11",
  doi="10.1016/j.amc.2025.129607",
  issn="0096-3003",
  url="https://www.sciencedirect.com/science/article/pii/S0893965920301026"
}