Work

Representation of solutions to a linear matrix first-order differential equation with delay

Year: 2025

Type: article

Abstract: Linear matrix delayed differential equation [Formula: see text] is dealt with, where [Formula: see text] is a delay, t is an independent variable, [Formula: see text] is an [Formula: see text] unknown variable matrix, B and C are given [Formula: see text] constant matrices, and [Formula: see text] is a given [Formula: see text] variable matrix. Under some commutativity conditions, a formula is derived for solving an initial problem [Formula: see text], [Formula: see text], where [Formula: see text] is an [Formula: see text] variable matrix. Previous results are discussed and open problems for further investigations suggested.

Source: Bulletin of Mathematical Sciences

DOI: 10.1142/s1664360725500171

Author: Josef Diblík

Institutions: Central European Institute of Technology, Brno University of Technology

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funder: Grantová Agentura České Republiky

Award: Analysis of Discrete and Continuous Dynamical Systems with Emphasis on Identification Problems