Publication result detail

Representation of solutions to delayed differential equations with a single delay by dominant and subdominant solutions

DIBLÍK, J.

Original Title

Representation of solutions to delayed differential equations with a single delay by dominant and subdominant solutions

English Title

Representation of solutions to delayed differential equations with a single delay by dominant and subdominant solutions

Type

WoS Article

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.

English 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

Key words in English

Delayed differential equation; Adjoint advanced differential equation; Positive solution; Dominant and subdominant solutions; Duality

Authors

DIBLÍK, J.

RIV year

2022

Released

01.09.2021

Publisher

Elsevier

Location

Amsterdam

ISBN

0893-9659

Periodical

Applied Mathematics Letters

Volume

119

Number

107236

State

United States of America

Pages from

1

Pages to

7

Pages count

7

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"
}