Novel criterion for the existence of solutions with positive coordinates to a system of linear delayed differential equations with multiple delays
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26220%2F24%3APU151242" target="_blank" >RIV/00216305:26220/24:PU151242 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0893965924000521" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0893965924000521</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aml.2024.109032" target="_blank" >10.1016/j.aml.2024.109032</a>
Alternative languages
Result language
angličtina
Original language name
Novel criterion for the existence of solutions with positive coordinates to a system of linear delayed differential equations with multiple delays
Original language description
A linear system of delayed differential equations with multiple delays x(t) = - Sigma(s)(t=1) c(i)(t)A(i)(t)x(t-tau(i)(t)), t is an element of[t(0), infinity), is considered where x is an n-dimensional column vector, t(0) is an element of R, s is a fixed integer, delays tau(i) are positive and bounded, entries of n by n matrices A(i) as well as functions c(i) are nonnegative, and the sums of columns of the matrix A(i) (t) are identical and equal to a function alpha(i)(t). It is proved that, on [t(0), infinity), the system has a solution with positive coordinates if and only if the scalar equation y(t) = - Sigma(s)(t=1) c(i)(t)A(i)(t)y(t-tau(i)(t)), t is an element of[t(0), infinity), has a positive solution. Some asymptotic properties of solutions related to both equations are also discussed. Illustrative examples are considered and some open problems formulated.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2024
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
APPLIED MATHEMATICS LETTERS
ISSN
1873-5452
e-ISSN
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Volume of the periodical
152
Issue of the periodical within the volume
June 2024
Country of publishing house
US - UNITED STATES
Number of pages
5
Pages from-to
1-5
UT code for WoS article
001197791100001
EID of the result in the Scopus database
2-s2.0-85185705410