Publication detail

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

ŘEHÁK, P.

Original Title

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

Type

journal article in Web of Science

Language

English

Original Abstract

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.

Keywords

half-linear differential equationregularly varying functionprincipal solu-tionasymptotic formula

Authors

ŘEHÁK, P.

Released

3. 1. 2023

Publisher

Bolyai Institute, University of Szeged

ISBN

1417-3875

Periodical

Electronic Journal of Qualitative Theory of Differential Equations

Year of study

2023

Number

1

State

Hungary

Pages from

1

Pages to

28

Pages count

28

URL

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

Full text in the Digital Library

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"
}