| 关于线性NDDE振动性的代数判据Ⅱ |
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| 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 |
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| 作者姓名： | 任洪善 郑祖庥 |
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| 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) |
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| 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。
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| 关 键 词： | 线性中立型，双滞量，振动性 |
On the Algebraic Criteria of Oscillation of Linear NDDE |
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| Ren Hongshan. On the Algebraic Criteria of Oscillation of Linear NDDE[J]. Journal of Anhui University(Natural Sciences), 1998, 22(1): 6-14 |
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| Authors: | Ren Hongshan |
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| Affiliation: | Ren Hongshan (Department of Mathematics Heilongjiang University Harbin 150080) Zheng Zuxiu (Department of Mathematics Anhui University Hefei 230039) |
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| Abstract: | Consider the first order neutral differential equation with two delays[x(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. |
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| Keywords: | neutral differential equation oscillation algebraic criteria |
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