✦ LIBER ✦
New oscillation criteria for second-order neutral functional dynamic equations via the generalized Riccati substitution
✍ Scribed by S.H. Saker; Donal O’Regan
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 277 KB
- Volume
- 16
- Category
- Article
- ISSN
- 1007-5704
No coin nor oath required. For personal study only.
✦ Synopsis
In this paper, we establish some new sufficient conditions for oscillation of the secondorder neutral functional dynamic equation
on a time scale T, where jf ðt; uÞj P qðtÞju c j, r, p and q are real valued rd-continuous positive functions defined on T, c P 1 is the quotient of odd positive integers. Our results improve existence results in the literature in the sense that our results do not require p D ðtÞ P 0, and R 1 t 0 h c ðsÞqðsÞ½1 À rðhðsÞÞ c Ds ¼ 1. Some examples are given to illustrate the main results.