This paper considers the delay difference equation where p n is a sequence of nonnegative real numbers and k is a positive integer. Some new oscillation criteria for this equation are obtained. Our theorems improve all known results in the literature.
Oscillation criteria for a neutral difference equation with delay
โ Scribed by Guang Zhang; Sui Sun Cheng
- Publisher
- Elsevier Science
- Year
- 1995
- Tongue
- English
- Weight
- 261 KB
- Volume
- 8
- Category
- Article
- ISSN
- 0893-9659
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
In this study, a new companion transformation is used for the neutral delay difference equation where n โ Z, R, P, Q are nonnegative sequences and r, k, l are positive integers. New criteria, which do not need the conditions and/or for all sufficiently large n, are introduced. All the recent resu
For a neutral differential equation a connection between oscillation properties of the differential equation and differential inequalities is established. Explicit nonoscillation and oscillation conditions and a comparison theorem are presented.
In this paper, some new oscillation criteria are obtained for the first-order delay difference equation k k Xn+I-x,~+ (k+l)k+l xn\_kรทf(n,x,~\_l~,...,xn\_t~) =0, n=0,1,2,..., where k,/1,/2,..., ls are positive integer numbers, f is a function. Our results improve the known results in the literature.