Vanishing solutions of a second-order discrete non-linear equation of Emden-Fowler type
Loading...
Date
2022
Authors
ORCID
Advisor
Referee
Mark
Journal Title
Journal ISSN
Volume Title
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.
Description
Citation
Proceedings I of the 28st Conference STUDENT EEICT 2022: General papers. s. 363-367. ISBN 978-80-214-6029-4
https://conf.feec.vutbr.cz/eeict/index/pages/view/ke_stazeni
https://conf.feec.vutbr.cz/eeict/index/pages/view/ke_stazeni
Document type
Peer-reviewed
Document version
Published version
Date of access to the full text
Language of document
en
Study field
Comittee
Date of acceptance
Defence
Result of defence
Document licence
© Vysoké učení technické v Brně, Fakulta elektrotechniky a komunikačních technologií