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DIBLÍK, J.
Originální název
Representation of solutions to delayed differential equations with a single delay by dominant and subdominant solutions
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
angličtina
Originální abstrakt
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.
Klíčová slova
Delayed differential equation; Adjoint advanced differential equation; Positive solution; Dominant and subdominant solutions; Duality
Autoři
Vydáno
1. 9. 2021
Nakladatel
Elsevier
Místo
Amsterdam
ISSN
0893-9659
Periodikum
APPLIED MATHEMATICS LETTERS
Ročník
119
Číslo
107236
Stát
Spojené státy americké
Strany od
1
Strany do
7
Strany počet
URL
https://www.sciencedirect.com/science/article/pii/S0893965921001221
BibTex
@article{BUT173184, author="Josef {Diblík}", title="Representation of solutions to delayed differential equations with a single delay by dominant and subdominant solutions", journal="APPLIED MATHEMATICS LETTERS", year="2021", volume="119", number="107236", pages="1--7", doi="10.1016/j.aml.2021.107236", issn="0893-9659", url="https://www.sciencedirect.com/science/article/pii/S0893965921001221" }