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Publication detail
DIBLÍK, J.
Original Title
Representation of solutions to delayed differential equations with a single delay by dominant and subdominant solutions
Type
journal article in Web of Science
Language
English
Original Abstract
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.
Keywords
Delayed differential equation; Adjoint advanced differential equation; Positive solution; Dominant and subdominant solutions; Duality
Authors
Released
1. 9. 2021
Publisher
Elsevier
Location
Amsterdam
ISBN
0893-9659
Periodical
APPLIED MATHEMATICS LETTERS
Year of study
119
Number
107236
State
United States of America
Pages from
1
Pages to
7
Pages count
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" }