For equations on time scales, we consider the following problem: when will nonoscillation on time scale imply nonoscillation of the same equation on any time scale including as a subset? The main result of the paper is the following. If nonnegative coefficients are nonincreasing and are nondecreasing in , then nonoscillation of the equation
yields nonoscillation of the same equation on any time scale .
Cite this article
Elena Braverman, Bașak Karpuz, On Monotonicity of Nonoscillation Properties of Dynamic Equations in Time Scales. Z. Anal. Anwend. 31 (2012), no. 2, pp. 203–216DOI 10.4171/ZAA/1455