Detail publikace

# Asymptotic convergence of the solutions of a dynamic equation on discrete time scales

Originální název

Asymptotic convergence of the solutions of a dynamic equation on discrete time scales

Anglický název

Asymptotic convergence of the solutions of a dynamic equation on discrete time scales

Jazyk

en

Originální abstrakt

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.

Anglický abstrakt

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.

Plný text v Digitální knihovně

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",
annote="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.",
chapter="74921",
doi="10.1155/2012/580750",
institution="Hindawi",
number="ID 580750",
volume="2012",
year="2012",
month="january",
pages="1--20",
publisher="Hindawi",
type="journal article - other"
}``````