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Sufficient Conditions for the Oscillation of Linear Delay Difference Equations with Oscillating Coefficients

✍ Scribed by J.S. Yu; X.H. Tang


Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
67 KB
Volume
250
Category
Article
ISSN
0022-247X

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✦ Synopsis


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.


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Oscillations of Delay Differential Equat
✍ Xianhua Tang; Jianhua Shen πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 122 KB

Consider the delay differential equation xЈ t q p t x t y s 0, where p t g Žw . q . C t ,ϱ , R and is a positive constant. We obtain a sharp sufficient condition 0 for the oscillation of this equation, which improves previously known results.