Publication result detail

Asymptotic behavior of solutions of a second-order nonlinear discrete equation of Emden-Fowler type

DIBLÍK, J.; KOROBKO, E.

Original Title

Asymptotic behavior of solutions of a second-order nonlinear discrete equation of Emden-Fowler type

English Title

Asymptotic behavior of solutions of a second-order nonlinear discrete equation of Emden-Fowler type

Type

WoS Article

Original Abstract

The article investigates a second-order nonlinear difference equation of Emden-Fowler type. New conditions with respect to parameters of equation are found such that the equation admits a solution asymptotically represented by a power function that is asymptotically equivalent to the exact solution of the nonlinear second-order differential Emden-Fowler equation. Two-term asymptotic representations are given not only for the solution itself but also for its first- and second-order forward diffrences as well. Previously known results are discussed, and illustrative examples are considered.

English abstract

The article investigates a second-order nonlinear difference equation of Emden-Fowler type. New conditions with respect to parameters of equation are found such that the equation admits a solution asymptotically represented by a power function that is asymptotically equivalent to the exact solution of the nonlinear second-order differential Emden-Fowler equation. Two-term asymptotic representations are given not only for the solution itself but also for its first- and second-order forward diffrences as well. Previously known results are discussed, and illustrative examples are considered.

Keywords

Discrete equation; Emden-Fowler equation; equation of the second-order; asymptotic behavior; nonlinearity

Key words in English

Discrete equation; Emden-Fowler equation; equation of the second-order; asymptotic behavior; nonlinearity

Authors

DIBLÍK, J.; KOROBKO, E.

RIV year

2024

Released

06.10.2023

Publisher

De Gruyter

ISBN

2191-950X

Periodical

Advances in Nonlinear Analysis

Volume

12

Number

1

State

Federal Republic of Germany

Pages from

1

Pages to

23

Pages count

23

URL

https://www.degruyter.com/document/doi/10.1515/anona-2023-0105/html

Full text in the Digital Library

http://hdl.handle.net/11012/214136

BibTex

@article{BUT184822,
  author="Josef {Diblík} and Evgeniya {Korobko}",
  title="Asymptotic behavior of solutions of a second-order nonlinear discrete equation of Emden-Fowler type",
  journal="Advances in Nonlinear Analysis",
  year="2023",
  volume="12",
  number="1",
  pages="1--23",
  doi="10.1515/anona-2023-0105",
  issn="2191-9496",
  url="https://www.degruyter.com/document/doi/10.1515/anona-2023-0105/html"
}

Documents

10.1515_anona-2023-0105