EXACT THREE POSITIVE SOLUTIONS TO A SECOND-ORDER NEUMANN BOUNDARY VALUE PROBLEM WITH SINGULAR NONLINEARITY

被引：0

作者：

Feng, Yuqiang ^{[1
]}

Li, Guangjun ^{[2
]}

机构：

[1] Wuhan Univ Sci & Technol, Sch Sci, Wuhan 430065, Peoples R China

[2] Shandong Kaiwen Coll Sci & Technol, Dept Basic Course, Jinan 250200, Peoples R China

来源：

ARABIAN JOURNAL FOR SCIENCE AND ENGINEERING | 2010年 / 35卷 / 2D期

关键词：

Neumann boundary value problem; positive solution; existence; exact multiplicity; EXACT MULTIPLICITY; EQUATIONS; RESONANCE;

D O I：

暂无

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this note, we establish the exact multiplicity result for a second-order Neumann boundary value problem {u ''(t) + f(u(t)) = h(t), 0 <= t <= 1, u'(0) = u'(1) = 0. where f is singular at zero. Wirtinger inequality, comparison theorem, maximum principle and lower and upper solutions method are employed to prove the main theorem.

引用

页码：189 / 195

页数：7

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