Asymptotic Behavior of Solutions of Delayed Difference Equations
Joint Authors
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-24, 24 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-07-12
Country of Publication
Egypt
No. of Pages
24
Main Subjects
Abstract EN
This contribution is devoted to the investigation of the asymptotic behavior of delayed difference equations with an integer delay.
We prove that under appropriate conditions there exists at least one solution with its graph staying in a prescribed domain.
This is achieved by the application of a more general theorem which deals with systems of first-order difference equations.
In the proof of this theorem we show that a good way is to connect two techniques—the so-called retract-type technique and Liapunov-type approach.
In the end, we study a special class of delayed discrete equations and we show that there exists a positive and vanishing solution of such equations.
American Psychological Association (APA)
Diblík, Josef& Hlavičková, I.. 2011. Asymptotic Behavior of Solutions of Delayed Difference Equations. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-24.
https://search.emarefa.net/detail/BIM-489249
Modern Language Association (MLA)
Diblík, Josef& Hlavičková, I.. Asymptotic Behavior of Solutions of Delayed Difference Equations. Abstract and Applied Analysis No. 2011 (2011), pp.1-24.
https://search.emarefa.net/detail/BIM-489249
American Medical Association (AMA)
Diblík, Josef& Hlavičková, I.. Asymptotic Behavior of Solutions of Delayed Difference Equations. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-24.
https://search.emarefa.net/detail/BIM-489249
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-489249