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DIBLÍK, J. RŮŽIČKOVÁ, M. ŠMARDA, Z. ŠUTÁ, Z.
Original Title
Asymptotic convergence of the solutions of a dynamic equation on discrete time scales
Type
journal article - other
Language
English
Original Abstract
It is proved that, for the asymptotic convergence of all solutions, the existence of an increasing and asymptotically convergent solution is sufficient. Therefore, the main attention is paid to the criteria for the existence of an increasing solution asymptotically convergent for n goes to infinity. The results are presented as inequalities for the function beta. Examples demonstrate that the criteria obtained are sharp in a sense.
Keywords
difference equation, asymptotically convergent solution, auxiliary inequality
Authors
DIBLÍK, J.; RŮŽIČKOVÁ, M.; ŠMARDA, Z.; ŠUTÁ, Z.
RIV year
2012
Released
3. 1. 2012
Publisher
Hindawi
Location
USA
ISBN
1085-3375
Periodical
Abstract and Applied Analysis
Year of study
Number
ID 580750
State
United States of America
Pages from
1
Pages to
20
Pages count
URL
https://www.hindawi.com/journals/aaa/2012/580750/
Full text in the Digital Library
http://hdl.handle.net/11012/137070
BibTex
@article{BUT74921, author="Josef {Diblík} and Miroslava {Růžičková} and Zdeněk {Šmarda} and Zuzana {Šutá}", title="Asymptotic convergence of the solutions of a dynamic equation on discrete time scales", journal="Abstract and Applied Analysis", year="2012", volume="2012", number="ID 580750", pages="1--20", doi="10.1155/2012/580750", issn="1085-3375", url="https://www.hindawi.com/journals/aaa/2012/580750/" }