Representation of solutions to delayed differential equations with a single delay by dominant and subdominant solutions
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26110%2F21%3APU142120" target="_blank" >RIV/00216305:26110/21:PU142120 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0893965921001221" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0893965921001221</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.aml.2021.107236" target="_blank" >10.1016/j.aml.2021.107236</a>
Alternative languages
Result language
angličtina
Original language name
Representation of solutions to delayed differential equations with a single delay by dominant and subdominant solutions
Original language description
The representation and behavior is investigated of the solutions to an equation with a single constant delay dot ˙x(t) = −c(t)x(t − τ), t ≥ t_0 ≥ 0 with c a positive function provided that it has a positive solution. A scheme is suggested for determining the representation of solutions defi ned by arbitrary initial function if dominant and subdominant solutions are known. Applications are given to equations with constant and perturbed coefficients with open problems included for future investigation.
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
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Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2021
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
0893-9659
e-ISSN
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Volume of the periodical
119
Issue of the periodical within the volume
107236
Country of publishing house
US - UNITED STATES
Number of pages
7
Pages from-to
1-7
UT code for WoS article
000650965000005
EID of the result in the Scopus database
2-s2.0-85103408372