| 超线性时滞微分方程解的振动性 |
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| 引用本文： | 唐先华,庾建设.超线性时滞微分方程解的振动性[J].应用数学学报,2003,26(2):328-336. |
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| 作者姓名： | 唐先华 庾建设 |
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| 作者单位： | 1. 中南大学应用数学系,长沙,410083
2. 湖南大学数学与计量经济学院,长沙,410082 |
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| 基金项目： | 国家自然科学基金95重点资助项目(19831030号) |
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| 摘 要： | 研究一阶超线性时滞微分方程x′(t) p(t)x(t—γ)]^α＝0(α＞1)解的振动性及非振动性,获得了保证其所有解振动的“almost sharp”准则,并应用所得结果于混合型时滞微分方程x′（t） ∑^ni=1pi（t）x（t-γi]^αi=0,得到一族振动准则。
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| 关 键 词： | 超线性时滞微分方程 解 振动性 “almost sharp”准则 混合型方程 |
OSCILLATION OF SUPERLINEAR DELAY DIFFERENTIAL EQUATIONS |
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| TANG XIANHUA.OSCILLATION OF SUPERLINEAR DELAY DIFFERENTIAL EQUATIONS[J].Acta Mathematicae Applicatae Sinica,2003,26(2):328-336. |
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| Authors: | TANG XIANHUA [ |
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| Institution: | TANG XIANHUA [Department of Applied Mathematics,Central South University,Changsha 410083)
YU JIANSHE |
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| Abstract: | In this paper, we consider the oscillation of solutions for the first order superlin-ear delay differential equations x'(t) + p(t)x(t -r)]a = 0 (a > 1), and obtain some "almost sharp" oscillation criteria. In the final, by applying the obtained results in this paper, we also obtain some oscillation conditions for the mixed type delay differential equations |
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| Keywords: | Superlinear delay differential equation oscillation |
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