Detail publikace

Half-linear differential equations: Regular variation, principal solutions, and asymptotic classes

ŘEHÁK, P.

Originální název

Half-linear differential equations: Regular variation, principal solutions, and asymptotic classes

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

We are interested in the structure of the solution space of second-order half-linear differential equations taking into account various classifications regarding asymptotics of solutions. We focus on an exhaustive analysis of the relations among several types of classes which include the classes constructed with respect to the values of the limits of solutions and their quasiderivatives, the classes of regularly varying solutions, the classes of principal and nonprincipal solutions, and the classes of the so-lutions that obey certain asymptotic formulae. Many of our observations are new even in the case of linear differential equations, and we provide also the revision of existing results.

Klíčová slova

half-linear differential equationregularly varying functionprincipal solu-tionasymptotic formula

Autoři

ŘEHÁK, P.

Vydáno

3. 1. 2023

Nakladatel

Bolyai Institute, University of Szeged

ISSN

1417-3875

Periodikum

Electronic Journal of Qualitative Theory of Differential Equations

Ročník

2023

Číslo

1

Stát

Maďarsko

Strany od

1

Strany do

28

Strany počet

28

URL

https://www.math.u-szeged.hu/ejqtde/p9954.pdf

Plný text v Digitální knihovně

http://hdl.handle.net/11012/213706

BibTex

@article{BUT183067,
  author="Pavel {Řehák}",
  title="Half-linear differential equations: Regular variation, principal solutions, and asymptotic classes",
  journal="Electronic Journal of Qualitative Theory of Differential Equations",
  year="2023",
  volume="2023",
  number="1",
  pages="1--28",
  doi="10.14232/ejqtde.2023.1.1",
  issn="1417-3875",
  url="https://www.math.u-szeged.hu/ejqtde/p9954.pdf"
}