Asymptotic Behavior of Solutions to Half-Linear q-Difference Equations
Author
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-12-22
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
We derive necessary and sufficient conditions for (some or all) positive solutions of the half-linear q-difference equation Dq(Φ(Dqy(t)))+p(t)Φ(y(qt))=0, t∈{qk:k∈N0} with q>1, Φ(u)=|u|α−1sgnu with α>1, to behave like q-regularly varying or q-rapidly varying or q-regularly bounded functions (that is, the functions y, for which a special limit behavior of y(qt)/y(t) as t→∞ is prescribed).
A thorough discussion on such an asymptotic behavior of solutions is provided.
Related Kneser type criteria are presented.
American Psychological Association (APA)
Řehák, Pavel. 2010. Asymptotic Behavior of Solutions to Half-Linear q-Difference Equations. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-513796
Modern Language Association (MLA)
Řehák, Pavel. Asymptotic Behavior of Solutions to Half-Linear q-Difference Equations. Abstract and Applied Analysis No. 2011 (2011), pp.1-12.
https://search.emarefa.net/detail/BIM-513796
American Medical Association (AMA)
Řehák, Pavel. Asymptotic Behavior of Solutions to Half-Linear q-Difference Equations. Abstract and Applied Analysis. 2010. Vol. 2011, no. 2011, pp.1-12.
https://search.emarefa.net/detail/BIM-513796
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-513796
