Asymptotic Behavior of Solutions to Half-Linear q-Difference Equations

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−1sgn⁡u with α>1, to behave like q-regularly varying or...

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Bibliographic Details
Main Author: Pavel Řehák
Format: Article
Language:English
Published: Wiley 2011-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2011/986343
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