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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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