| 引用本文： |
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席鸿建.n阶非线性泛函微分方程正解存在的几个充要条件[J].广西科学,1994,1(4):19-22. [点击复制]
- Xi Hongjian.On the Positive Solutions of the nth Order Nonlinear Functional Differential Equation[J].Guangxi Sciences,1994,1(4):19-22. [点击复制]
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| n阶非线性泛函微分方程正解存在的几个充要条件 |
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席鸿建
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| (广西大学数学与信息科学系, 南宁市西乡塘路10号 530004) |
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| 摘要: |
| 利用Schauder不动点定理讨论n阶非线性泛函微分方程x(n)(t)+p(t)f(x(g(t)=r(t)正解全体的构成与正解的存在性. |
| 关键词: 函微分方程 正解 不动点定理 |
| DOI： |
| 投稿时间：1994-05-16 |
| 基金项目: |
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| On the Positive Solutions of the nth Order Nonlinear Functional Differential Equation |
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Xi Hongjian
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| (Dept. of Math. &. Inf's Sci. Guangxi University, 10 Xixiangtang Road, Nanning, Guangxi, 530004) |
| Abstract: |
| The higher order nonlinear functional differential equation, x(n)(t)+p(t)f(x(g(t)=r(t) is discussed by using Schauder's fixed point theorem, some necessary and sufficient coditions for existence of positive solution of the equation are established. |
| Key words: functional differential equation positive solution fixed point theorem |
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