On Monotonicity of Nonoscillation Properties of Dynamic Equations in Time Scales
ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, cilt.31, sa.2, ss.203-216, 2012 (SCI-Expanded, Scopus)
- 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