Original title: Vanishing solutions of a second-order discrete non-linear equation of Emden-Fowler type
Authors: Diblík, J. ; Korobko, E.
Document type: Papers
Language: eng
Publisher: Vysoké učení technické v Brně, Fakulta elektrotechniky a komunikačních technologií
Abstract: The paper discusses a discrete equation of an Emden-Fowler type Δ2v(k) = -k3 (Δv(k))3 where v is a dependent variable, k is an integer-valued independent variable, Δv and Δ2v are the first and second-order forward differences of v, respectively. The paper aims to prove the existence of a nontrivial and vanishing solution for k ! 1. The equation is transformed into a system of two first-order difference equations, which makes it possible to apply previously known results when investigating the system.
Keywords: asymptotic behaviour; difference equation; Emden-Fowler type equation
Host item entry: Proceedings I of the 28st Conference STUDENT EEICT 2022: General papers, ISBN 978-80-214-6029-4

Institution: Brno University of Technology (web)
Document availability information: Fulltext is available in the Brno University of Technology Digital Library.
Original record: http://hdl.handle.net/11012/209366

Permalink: http://www.nusl.cz/ntk/nusl-524793


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