| 混合中立型方程渐近衰退正解的存在性 |
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| 引用本文： | 蔡果兰,葛渭高.混合中立型方程渐近衰退正解的存在性[J].数学物理学报(A辑),2006,26(1):136-142. |
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| 作者姓名： | 蔡果兰 葛渭高 |
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| 作者单位： | 中央民族大学数学与计算机学院，北京理工大学数学系 北京 100081 北京理工大学数学系 北京 100081，北京 100081 |
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| 基金项目： | 国家自然科学基金(10371006)资助 |
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| 摘 要： | 该文利用Krasnoselskii不动点定理,讨论了一阶混合中立型微分方程x(t)-cx(t-h)-c^*x(t+h^*)]'=p(t)x(g(t)),获得了方程在p\leq p(t)<0与0
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| 关 键 词： | 混合中立型方程 渐近衰退正解 全连续 Krasnoselskii不动点定理 |
| 文章编号： | 1003-3998(2006)01-136-07 |
| 收稿时间： | 2003-12-21 |
| 修稿时间： | 2004-09-17 |
On the Existence of Asymptotically Decaying Positive Solutions |
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| Cai Guolan,Ge Weigao.On the Existence of Asymptotically Decaying Positive Solutions[J].Acta Mathematica Scientia,2006,26(1):136-142. |
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| Authors: | Cai Guolan Ge Weigao |
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| Institution: | 1. Department of mathematics, Central University for Nationalities, Beijing 100081; 2.Department of mathematics, Beijing Institute of Technology, Beijing 100081 |
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| Abstract: | In this paper, the authors study the first order neutral differential equation x(t)-cx(t-h)- c*x(t h*)]' = p(t)x(g(t)) by the Krasnoselskii fixed point theorem, and obtain some new sufficient conditions for existence of asymptotically decaying positive solutions of the first order neutral differential equation. |
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| Keywords: | Mixed neutral differential equation Asymptotically Decaying positive solution Krasnoselskii fixed point theorem Completely continuous |
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