Positive Solutions of Boundary Value Problems for Second-Order Singular Nonlinear Differential Equations期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

按检索

Positive Solutions of Boundary Value Problems for Second-Order Singular Nonlinear Differential Equations

Authors:	Ren-gui Li Li-shan Liu

Institution:	Department of Mathematics, Qufu Normal University, Qufu 273165, P R China

Abstract:	New existence results are presented for the singular second-order nonlinear boundary value problems u″+g(t)f(u)=0, 0<t<1, αu(0)−βu′(0)=0, γu(1)+δu′(1)=0 under the conditions 0≤f ₀ ⁺ <M₁, m₁<f _∞ ⁻ ≤∞ or 0≤f _∞ ⁺ <M₁, m₁<f ₀ ⁻ ≤∞, where $\begin{gathered} f_0^ + = \overline {\lim } _{u \to 0} f(u)/u, f_\infty ^ - = \underline {\lim } _{u \to \infty } f(u)/u, f_0^ - = \hfill \\ \underline {\lim } _{u \to 0} f(u)/u, f_\infty ^ + = \overline {\lim } _{u \to \infty } f(u)/u \hfill \\ \end{gathered}$ , g may be singular at t=0 and/or t=1. The proof uses a fixed point theorem in cone theory. Foundation item: the National Natural Science Foundation of China (19871048); the Natural Science Foundation of Shandong Province (Y98A09012) Biography: Li Ren-gui (1968-), Lecturer, Master

Keywords:	second_order singular boundary value problems positive solutions cone fixed point
本文献已被 CNKI 万方数据 SpringerLink 等数据库收录！
	点击此处可从《应用数学和力学(英文版)》浏览原始摘要信息
	点击此处可从《应用数学和力学(英文版)》下载免费的PDF全文