| 关于线性NDDE振动性的代数判据Ⅱ |
| |
| 引用本文： | 任洪善,郑祖庥.关于线性NDDE振动性的代数判据Ⅱ[J].安徽大学学报(自然科学版),1998,22(1):6-14. |
| |
| 作者姓名： | 任洪善 郑祖庥 |
| |
| 作者单位： | 黑龙江大学数学系(任洪善)，安徽大学数学系(郑祖庥) |
| |
| 摘 要： | 本文为［２］的继续，给出双滞量线性ＮＤＤＥ，当Ｐ（σ－τ）＜０时一切解振动的充要条件。
|
| 关 键 词： | 线性中立型，双滞量，振动性 |
On the Algebraic Criteria of Oscillation of Linear NDDE |
| |
| Ren,Hongshan.On the Algebraic Criteria of Oscillation of Linear NDDE[J].Journal of Anhui University(Natural Sciences),1998,22(1):6-14. |
| |
| Authors: | Ren Hongshan |
| |
| Institution: | Ren Hongshan (Department of Mathematics Heilongjiang University Harbin 150080) Zheng Zuxiu (Department of Mathematics Anhui University Hefei 230039) |
| |
| Abstract: | Consider the first order neutral differential equation with two delaysx(t)+px(t-τ)]′+q 1x(t)+q 2x(t-σ)=0,τ,σ,∈R +(*) where P,q 1,q 2∈R。 Our purpose in this paper is to establish the oscillation criteria of all solutions of Eq(*) in the case of P(σ-τ)<0. Specially ,they are algebraic criteria. Then the necessary and sufficient conditions are given. |
| |
| Keywords: | neutral differential equation oscillation algebraic criteria |
| 本文献已被 CNKI 维普 等数据库收录！ |
