|
|||||
|
|
| 拟线性滞后型微分方程正解的存在性 | |
| 引用本文： | 尹福其,范桂红,李永昆. 拟线性滞后型微分方程正解的存在性[J]. 数学研究, 2002, 35(4): 364-370 |
| 作者姓名： | 尹福其 范桂红 李永昆 |
| 作者单位： | 云南大学数学系,云南,昆明,650091 |
| 基金项目： | Thiswork issupported by National Natural Sciences Foundation of People′s Republicof China and Natural Sciences Foundation of Yunnan Province |
| 摘 要： | 本文研究了下面这种拟线性滞后型微分方程(g(u′)′+a(t) f (ut) =0 , 0 |
| 关 键 词： | 拟线性滞后型微分方程 正解 存在性 不动点 阿尔采拉－阿斯卡里定理 |
The Existence of Positive Solutions for the Quasilinear Functional Delay Differential Equations |
|
| Yin Fuqi Fan Guihong Li Yongkun. The Existence of Positive Solutions for the Quasilinear Functional Delay Differential Equations[J]. Journal of Mathematical Study, 2002, 35(4): 364-370 | |
| Authors: | Yin Fuqi Fan Guihong Li Yongkun |
| Abstract: | In this paper, we study the existence of positive solutions of the quasilinear functional delay differential equation of the form(g(u′))′+a(t)f(ut)=0, 0＜t＜1(1)where g(v)=|v|p-2v, p＞1, subject to nonlinear boundary conditions. We show that there exists at least one positive solution by applying a fixed point theorem in cones and the Arzela-Ascoli theorem. |
| Keywords: | positive solution fixed point Arzela Ascoli theorem |
| 本文献已被 CNKI 万方数据 等数据库收录！ | |