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.
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页码：189 / 195
页数：7
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