In this paper, two interesting oscillation criteria are obtained for all solutions of ลฝ . the nonlinear delay difference equations of the form y y y q p f y s 0, n s 0, 1, 2, . . . . Some applications are given to demonstrate the advantage of results obtained in this paper. Our results also improve
Oscillation for System of Delay Difference Equations
โ Scribed by Jurang Yan; Fengqin Zhang
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 70 KB
- Volume
- 230
- Category
- Article
- ISSN
- 0022-247X
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๐ SIMILAR VOLUMES
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.
In this paper sufficient conditions for the oscillation of all solutions of the delay difference equation x y x q p x s 0, n s 0, 1, 2, . . . , are established, where the coefficient p itself may be allowed to be oscillatory. We also give an n example to demonstrate the advantage of our results.
Some new results on oscillation and nonoscillation for delay differential equations with impulses are established. A counterexample is given which shows that a known oscillation criterion is incorrect.