Oscillation for higher-order neutral superlinear delay difference equations with unstable type
โ Scribed by Xiaoyan Lin
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 326 KB
- Volume
- 50
- Category
- Article
- ISSN
- 0898-1221
No coin nor oath required. For personal study only.
โฆ Synopsis
F~t, we prove that the following even-order neutral superlinear delay difference equation with unstable type, -q ..... ,* > no, (*)
has always unbounded and nonoscillatory solution. Then, some bounded oscillatory criteria for equation (,) are obtained. (
๐ SIMILAR VOLUMES
This paper deals with some sufficient conditions for the bounded oscillation criteria for the second-order nonlinear delay difference equation In addition, we generalize and improve the existing results, and then give some examples of applications.
Sharp sufficient conditions are obtained for the bounded oscillation for second-order delay differential equation with unstable type xH(t) = p(t)x(t -~') in the critical state lira p(t) = t~OO (~) 2003 Elsevier Science Ltd. All rights reserved.
In this paper, we consider the following higher-order neutral delay difference equations with positive and negative coefficients: where c E W, m 2 1, k 2 1, r,Z 2 0 are integers, and {pn}~zn=n, and {qn}r&, are sequences of nonnegative real numbers. We obtain the global results (with respect to c) w