A Note on General Oscillation for Delay Differential Equations
β Scribed by Baruch Cahlon; Darrell Schmidt
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 67 KB
- Volume
- 238
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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.
## Abstract We consider the first order nonlinear neutral delay differential equation equation image and establish a linearized oscillation result of Eq. (1) when __P(t)__ β₯ 1, which answers partially an open problem proposed by GYΓRI and LADAS.
Conditions for the oscillation of the solutions of nonlinear impulsive delay Ε½ differential equations are found. The results given by D. D.
Almost sharp oscillation and nonoscillation criteria are obtained for the firstorder nonlinear delay differential equation where m j=1 Ξ± j > 1. Some applications are given.