Detail publikačního výsledku

Asymptotics of perturbed discrete Euler equations in the critical case

ŘEHÁK, P.

Originální název

Asymptotics of perturbed discrete Euler equations in the critical case

Anglický název

Asymptotics of perturbed discrete Euler equations in the critical case

Druh

Článek WoS

Originální abstrakt

We consider the difference equation Delta(2)y(k) + p(k)y(k + 1) = 0 under the condition lim(k ->infinity) k(2)p(k) = 1/4; such a setting can cover various perturbations of the critical (double root) case in Euler type difference equations. We establish precise asymptotic formulae for all nonoscillatory solutions. An important role is played by the concept of the refined discrete regular variation, transformations of dependent and independent variable, and asymptotic theory of dynamic equations on time scales. (C) 2020 Elsevier Inc. All rights reserved.

Anglický abstrakt

We consider the difference equation Delta(2)y(k) + p(k)y(k + 1) = 0 under the condition lim(k ->infinity) k(2)p(k) = 1/4; such a setting can cover various perturbations of the critical (double root) case in Euler type difference equations. We establish precise asymptotic formulae for all nonoscillatory solutions. An important role is played by the concept of the refined discrete regular variation, transformations of dependent and independent variable, and asymptotic theory of dynamic equations on time scales. (C) 2020 Elsevier Inc. All rights reserved.

Klíčová slova

Euler difference equation; Asymptotic behavior; Regular variation

Klíčová slova v angličtině

Euler difference equation; Asymptotic behavior; Regular variation

Autoři

ŘEHÁK, P.

Rok RIV

2021

Vydáno

15.04.2021

Nakladatel

ACADEMIC PRESS INC ELSEVIER SCIENCE

Místo

SAN DIEGO

ISSN

0022-247X

Periodikum

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS

Svazek

496

Číslo

2

Stát

Spojené státy americké

Strany od

1

Strany do

9

Strany počet

9

URL

https://doi.org/10.1016/j.jmaa.2020.124825

BibTex

@article{BUT167822,
  author="Pavel {Řehák}",
  title="Asymptotics of perturbed discrete Euler equations in the critical case",
  journal="JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS",
  year="2021",
  volume="496",
  number="2",
  pages="1--9",
  doi="10.1016/j.jmaa.2020.124825",
  issn="0022-247X",
  url="https://doi.org/10.1016/j.jmaa.2020.124825"
}