Asymptotic convergence of the solutions of a dynamic equation on discrete time scales
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Date
2012-01-03
Authors
Diblík, Josef
Růžičková, Miroslava
Šmarda, Zdeněk
Šutá, Zuzana
0000-0001-5009-316XAdvisor
Referee
Mark
Journal Title
Journal ISSN
Volume Title
Publisher
Hindawi
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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.
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.
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.
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Citation
Abstract and Applied Analysis. 2012, vol. 2012, issue ID 580750, p. 1-20.
https://www.hindawi.com/journals/aaa/2012/580750/
https://www.hindawi.com/journals/aaa/2012/580750/
Document type
Peer-reviewed
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Published version
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Language of document
en