Detail publikačního výsledku

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

DIBLÍK, J.

Originální název

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

Anglický název

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

Druh

Článek WoS

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.

Anglický 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

Klíčová slova v angličtině

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

Autoři

DIBLÍK, J.

Rok RIV

2022

Vydáno

01.09.2021

Nakladatel

Elsevier

Místo

Amsterdam

ISSN

0893-9659

Periodikum

Applied Mathematics Letters

Svazek

119

Číslo

107236

Stát

Spojené státy americké

Strany od

1

Strany do

7

Strany počet

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"
}