| 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: |
|
| On the Positive Solutions of the nth Order Nonlinear Functional Differential Equation |
|
Xi Hongjian
|
| (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 |
