Detail publikace

Nonlinear Poincare-Perron theorem

ŘEHÁK, P.

Originální název

Nonlinear Poincare-Perron theorem

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

Originální abstrakt

We establish a nonlinear extension of the Poincare-Perron theorem for a second order half-linear differential equation. Conditions are established which guarantee that all nontrivial solutions y of the equation are such that a proper limit lim(t ->infinity)y'(t)/y(t) exists. In addition, we discuss establishing precise asymptotic formulae for these solutions. We employ theory of regular variation and thereby, as a by-product, we complete some results for asymptotics of differential equations considered in this framework. The results can serve for comparison purposes involving more general equations and are of importance also from the stability point of view. (C) 2021 Elsevier Ltd. All rights reserved.

Klíčová slova

Poincare-Perron theorem; Asymptotic behavior; Half-linear equation

Autoři

ŘEHÁK, P.

Vydáno

1. 11. 2021

Nakladatel

PERGAMON-ELSEVIER SCIENCE LTD

Místo

OXFORD

ISSN

0893-9659

Periodikum

APPLIED MATHEMATICS LETTERS

Ročník

121

Číslo

107425

Stát

Spojené státy americké

Strany od

1

Strany do

7

Strany počet

7

URL

https://doi.org/10.1016/j.aml.2021.107425

BibTex

@article{BUT176918,
  author="Pavel {Řehák}",
  title="Nonlinear Poincare-Perron theorem",
  journal="APPLIED MATHEMATICS LETTERS",
  year="2021",
  volume="121",
  number="107425",
  pages="1--7",
  doi="10.1016/j.aml.2021.107425",
  issn="0893-9659",
  url="https://doi.org/10.1016/j.aml.2021.107425"
}