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.
New oscillation criteria for first-order delay difference equations
โ Scribed by Jianchu Jiang; Xiaoping Li; Xianhua Tang
- Publisher
- Elsevier Science
- Year
- 2004
- Tongue
- English
- Weight
- 382 KB
- Volume
- 47
- Category
- Article
- ISSN
- 0898-1221
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โฆ Synopsis
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. And some examples are given to demonstrate the advantage of our results.
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.
In this paper, several new oscillation criteria for the second-order nonlinear neutral delay differential equation are established. These oscillation criteria extend and improve some known results. An interesting example illustrating the importance of our results is also provided.