Publication detail

On a discrete variant of the Emden-Fowler equation

DIBLÍK, J. KOROBKO, E.

Original Title

On a discrete variant of the Emden-Fowler equation

Type

conference paper

Language

English

Original Abstract

In the paper, the discrete Emden-Fowler type equation is considered, where k ≥ k0, k is an independent variable, k0 is a fixed integer, u: {k0, k0+1, ...} → R, ∆u(k) is the first difference of u(k), ∆2u(k) is the second difference of u(k), m and α are real numbers. A result on asymptotic behaviour of solutions when k → ∞ is proved and admissible values m and α satisfying assumptions of this result are considered in an (m, α)-plane.

Keywords

Emden-Fowler equation, discrete equation, nonlinear equation, asymptotic behaviour

Authors

DIBLÍK, J.; KOROBKO, E.

Released

20. 12. 2021

Publisher

Univerzita obrany

Location

Brno

ISBN

978-80-7582-441-7

Book

Mathematics, Information Technologies and Applied Sciences 2021, post-conference proceedings of extended versions of selected papers

Edition number

1

Pages from

42

Pages to

54

Pages count

13

BibTex

@inproceedings{BUT176032,
  author="Josef {Diblík} and Evgeniya {Korobko}",
  title="On a discrete variant of the Emden-Fowler equation",
  booktitle="Mathematics,  Information Technologies and Applied Sciences 2021,
post-conference proceedings of extended versions of selected papers",
  year="2021",
  number="1",
  pages="42--54",
  publisher="Univerzita obrany",
  address="Brno",
  isbn="978-80-7582-441-7"
}