On Monotonicity of Nonoscillation Properties of Dynamic Equations in Time Scales

Braverman E., KARPUZ B.

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, vol.31, no.2, pp.203-216, 2012 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 31 Issue: 2
  • Publication Date: 2012
  • Doi Number: 10.4171/zaa/1455
  • Journal Name: ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.203-216
  • Keywords: Nonoscillation, time scales, dependence of properties on time scales, finite difference approximations on various grids
  • Dokuz Eylül University Affiliated: No

Abstract

For equations on time scales, we consider the following problem: when will nonoscillation on time scale T imply nonoscillation of the same equation on any time scale (T) over tilde including T as a subset? The main result of the paper is the following. If nonnegative coefficients A(k)(t) are nonincreasing and alpha(k)(t) <= t are nondecreasing in t is an element of R, then nonoscillation of the equation