Detail publikace

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

ŘEHÁK, P.

Anglický název

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

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

en

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.

Anglický 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 anglicky

half-linear differential equationregularly varying functionprincipal solu-tionasymptotic formula

Vydáno

03.01.2023

Nakladatel

Bolyai Institute, University of Szeged

ISSN

1417-3875

Ročník

2023

Číslo

1

Strany od–do

1–28

Počet stran

28

BIBTEX


@article{BUT183067,
  author="Pavel {Řehák},
  title="Half-linear differential equations: Regular variation, principal solutions, and asymptotic classes",
  year="2023",
  volume="2023",
  number="1",
  month="January",
  pages="1--28",
  publisher="Bolyai Institute, University of Szeged",
  issn="1417-3875"
}