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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" }