Large time behavior of nonautonomous linear differential equations with Kirchhoff coefficients

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F24%3APU151899" target="_blank" >RIV/00216305:26110/24:PU151899 - isvavai.cz</a>

Result on the web

<a href="https://www.sciencedirect.com/science/article/pii/S0005109823006428?via%3Dihub" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0005109823006428?via%3Dihub</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.automatica.2023.111473" target="_blank" >10.1016/j.automatica.2023.111473</a>

Result language

angličtina

Original language name

Large time behavior of nonautonomous linear differential equations with Kirchhoff coefficients

Original language description

Nonautonomous linear ordinary differential equations with Kirchhoff coefficients are considered. Under appropriate assumptions on the topology of the directed graphs of the coefficients, it is shown that if the Perron vectors of the coefficients are slowly varying at infinity, then every solution is asymptotic to a constant multiple of the Perron vectors at infinity. Our results improve and generalize some recent convergence theorems.

Czech name

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Czech description

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Type

J_imp - Article in a specialist periodical, which is included in the Web of Science database

CEP classification

—

OECD FORD branch

10102 - Applied mathematics

Project

—

Continuities

S - Specificky vyzkum na vysokych skolach

Publication year

2024

Confidentiality

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

Name of the periodical

AUTOMATICA

ISSN

0005-1098

e-ISSN

1873-2836

Volume of the periodical

161

Issue of the periodical within the volume

3

Country of publishing house

US - UNITED STATES

Number of pages

5

Pages from-to

1-5

UT code for WoS article

001144210900001

EID of the result in the Scopus database

2-s2.0-85180527571