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5. POSITIVE SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR SECOND-ORDER SINGULAR NONLINEAR DIFFERENTIAL EQUAT

POSITIVE SOLUTIONS OF BOUNDARY VALUE PROBLEMS FOR SECOND-ORDER SINGULAR NONLINEAR DIFFERENTIAL EQUAT

来源 :应用数学和力学：英文版 | 被引量 : 0次 | 上传用户：jiu999

【摘 要】

：

New existence results are presented for the singular second-order nonlinear boundary value problems u' + g(t)f(u) = 0, 0 ＜ t ＜ 1, au(0) - βu′(0) = 0,γu(1)

【作 者】

：

LI Ren-gui(李仁贵) LI Li-shan(刘立山 

【机 构】

：

DepartmentofMathematics

【出 处】

：

应用数学和力学：英文版

【发表日期】

：

2001年4期

【关键词】

：

SECOND-ORDER SINGULAR boundary value problems positive solutions cone:fixed poin 

【基金项目】

：

国家自然科学基金，山东省自然科学基金

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New existence results are presented for the singular second-order nonlinear boundary value problems u' + g(t)f(u) = 0, 0 ＜ t ＜ 1, au(0) - βu′(0) = 0,γu(1) +δu'(l) = 0 under the conditions 0 ≤ fn+ ＜ M1, m1 ＜ f∞-≤∞ or 0 ≤ f∞+＜M1, m1 ＜ f 0-≤ ∞, where

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