Planar linear differential weakly delayed systems with constant matrices and equivalent ordinary differential systems

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26620%2F26%3A0198231" target="_blank" >RIV/00216305:26620/26:0198231 - isvavai.cz</a>

Výsledek na webu

<a href="https://www.sciencedirect.com/science/article/pii/S0022247X25005219?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0022247X25005219?via%3Dihub</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.jmaa.2025.129740" target="_blank" >10.1016/j.jmaa.2025.129740</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Planar linear differential weakly delayed systems with constant matrices and equivalent ordinary differential systems

Popis výsledku v původním jazyce

Considered is a linear planar delayed differential system x(center dot)(t) = Ax(t) + Bx(t-tau), where t >= 0, tau > 0 is a constant delay and A, Bare 2 x 2 constant matrices. Assuming that the system is weakly delayed, its general solution is constructed utilizing the Laplace transform. All the cases are specified of the solutions merging. Moreover, ordinary differential systems are considered such that general solutions of both delayed and non-delayed systems coincide when a transient interval is passed. Initial data for the relevant non-delayed systems are used such that these define the same solution as the corresponding initial data to the delayed system. An analysis of previous findings is given with two illustrative examples considered. Some open problems are suggested as well.

Název v anglickém jazyce

Planar linear differential weakly delayed systems with constant matrices and equivalent ordinary differential systems

Popis výsledku anglicky

Considered is a linear planar delayed differential system x(center dot)(t) = Ax(t) + Bx(t-tau), where t >= 0, tau > 0 is a constant delay and A, Bare 2 x 2 constant matrices. Assuming that the system is weakly delayed, its general solution is constructed utilizing the Laplace transform. All the cases are specified of the solutions merging. Moreover, ordinary differential systems are considered such that general solutions of both delayed and non-delayed systems coincide when a transient interval is passed. Initial data for the relevant non-delayed systems are used such that these define the same solution as the corresponding initial data to the delayed system. An analysis of previous findings is given with two illustrative examples considered. Some open problems are suggested as well.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

<a href="/cs/project/GA23-06476S" target="_blank" >GA23-06476S: Analýza diskrétních a spojitých dynamických systémů se zřetelem na problematiku identifikace</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2025

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

ISSN

0022-247X

e-ISSN

1096-0813

Svazek periodika

552

Číslo periodika v rámci svazku

1

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

29

Strana od-do

1-29

Kód UT WoS článku

001510939100001

EID výsledku v databázi Scopus

2-s2.0-105007150197