Mathematics, Department of


Date of this Version



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


Copyright Β© 2014 Qiaoshun Yang et al.

Open access


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