"Oscillation of Certain Emden-Fowler Dynamic Equations on Time Scales" by Qiaoshun Yang, Lynn Erbe et al.

Mathematics, Department of

 

Document Type

Article

Date of this Version

2014

Citation

Abstract and Applied Analysis Volume 2014, Article ID 597325, 6 pages

Comments

Copyright Β© 2014 Qiaoshun Yang et al.

Open access

http://dx.doi.org/10.1155/2014/597325

Abstract

The theory of time scales has attracted a great deal of attention since it was first introduced by Hilger [1] in order to unify continuous and discrete analysis. For completeness, we recall the following concepts related to the notion of time scales; see [2, 3] for more details. A time scale T is an arbitrary nonempty closed subset of the real numbers R. In this paper, since we shall be concerned with the oscillatory behavior of solutions, we shall also assume that sup T = ∞.We define the time scale interval [𝑑0,∞)T by [𝑑0,∞)T := [𝑑0,∞)∩T.The forward and backward jump operators are defined by

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