On Monotonicity of Nonoscillation Properties of Dynamic Equations in Time Scales

Braverman E., KARPUZ B.

ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, cilt.31, sa.2, ss.203-216, 2012 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 31 Sayı: 2
  • Basım Tarihi: 2012
  • Doi Numarası: 10.4171/zaa/1455
  • Dergi Adı: ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.203-216
  • Anahtar Kelimeler: Nonoscillation, time scales, dependence of properties on time scales, finite difference approximations on various grids
  • Dokuz Eylül Üniversitesi Adresli: Hayır

Özet

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