Multiple Integral Average Conditions for Oscillation of Delay Differential Equations
β Scribed by Bingtuan Li
- Publisher
- Elsevier Science
- Year
- 1998
- Tongue
- English
- Weight
- 150 KB
- Volume
- 219
- Category
- Article
- ISSN
- 0022-247X
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β¦ Synopsis
We obtain some multiple integral average conditions for oscillation and nonoscillation of the first order nonautonomous delay equations. Our theorems improve several previous well-known results.
π SIMILAR VOLUMES
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.
Consider the second order nonlinear neutral differential equation with delays: Ε½ . w . E d rdt y t y py t y q q t f y t y s 0, for t g 0, Ο± , where Ε½ . Ε½ . Ε½ . Ε½ . q t , f x are continuous functions, q t G 0, yf y ) 0 if y / 0, and 0p -1, Ε½ . ) 0, ) 0. When f y satisfies either the superlinear or
For a special class of the external force g t and nonnegative potential a t , we give necessary and sufficient conditions for the oscillation of all solutions of a nonlinear second order forced differential equation with delayed argument of Ε½ .