Detail publikačního výsledku

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

DIBLÍK, J.

Originální název

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

Anglický název

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

Druh

Článek WoS

Originální abstrakt

Linear matrix delayed differential equation (X)over dot(t) = BX(t - tau) + X(t - tau)C + F(t),t is an element of [0,infinity) is dealt with, where tau > 0 is a delay, t is an independent variable, X(t) is an n x n unknown variable matrix, B and C are given n x n constant matrices, and F(t) is a given n x n variable matrix. Under some commutativity conditions, a formula is derived for solving an initial problem X(t) = Psi(t), t is an element of [-tau, 0], where Psi(t) is an n x n variable matrix. Previous results are discussed and open problems for further investigations suggested.

Anglický abstrakt

Linear matrix delayed differential equation (X)over dot(t) = BX(t - tau) + X(t - tau)C + F(t),t is an element of [0,infinity) is dealt with, where tau > 0 is a delay, t is an independent variable, X(t) is an n x n unknown variable matrix, B and C are given n x n constant matrices, and F(t) is a given n x n variable matrix. Under some commutativity conditions, a formula is derived for solving an initial problem X(t) = Psi(t), t is an element of [-tau, 0], where Psi(t) is an n x n variable matrix. Previous results are discussed and open problems for further investigations suggested.

Klíčová slova

Differential matrix equation; matrix solution; delayexplicit formula; representation of solutions

Klíčová slova v angličtině

Differential matrix equation; matrix solution; delayexplicit formula; representation of solutions

Autoři

DIBLÍK, J.

Vydáno

21.08.2025

Periodikum

Bulletin of Mathematical Sciences

Svazek

1

Číslo

1

Stát

Království Saúdská Arábie

Strany od

1

Strany do

13

Strany počet

13

URL

https://www.worldscientific.com/doi/10.1142/S1664360725500171

BibTex

@article{BUT199054,
  author="Josef {Diblík}",
  title="Representation of solutions to a linear matrix first-order differential equation with delay",
  journal="Bulletin of Mathematical Sciences",
  year="2025",
  volume="1",
  number="1",
  pages="1--13",
  doi="10.1142/S1664360725500171",
  issn="1664-3607",
  url="https://www.worldscientific.com/doi/10.1142/S1664360725500171"
}