Oscillation in First Order Neutral Differential Equations with "Integrally Small" Coefficients
β Scribed by J.S. Yu; J.R. Yan
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 226 KB
- Volume
- 187
- Category
- Article
- ISSN
- 0022-247X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We establish several new sufficient conditions for the oscillation of all solutions Ε½ . and the existence of a positive solution when P t y 1 is allowed to oscillate and Ο± Ε½ . the usual divergent condition H Q s ds s Ο± is not satisfied. These conditions are almost sharp and improve some known result
t ## Ε½ . , β¦ g R , G β¦ , are obtained where R t q H Q u du y 1 is allowed to x Ο± w Ε½ . Ε½ oscillate and the condition H s P s y Q s y q β¦ H P u y Q u y q t s 0 .x β¦ du ds s Ο± is not necessary. Some examples are given, which show that the results here are almost sharp.
The purpose of this paper is to study nonoscillations and oscillations of first order neutral equations with variable coefficients. We obtain several new existence theorems of nonoscillatory solutions and a sufficient condition for all solutions of such equations to oscillate. Our conditions are "sh