On singular Sturm-Liouville boundary-value problems

被引：22
|
作者：
Hai, D. D. [1 ]
机构：
[1] Mississippi State Univ, Dept Math, Mississippi State, MS 39762 USA
来源：
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2010年 / 140卷
关键词：
ORDINARY DIFFERENTIAL-EQUATIONS; POSITIVE SOLUTIONS; EXISTENCE;
D O I：
10.1017/S0308210508000358
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider the existence of positive solutions for the boundary-value problem (q(t)phi(u'))' + lambda f (t, u) - 0, r < t < R, au(r) - b phi(-1)(q(r))u'(r) = 0, cu(R) + d phi(-1) (q(R))u'(R) = 0, where phi(u') = vertical bar u'vertical bar(p-2)u', p > 1, lambda > 0, f is p-superlinear or p-sublinear at infinity and is allowed to become -infinity at u = 0. Our results unify and extend many known results in the literature.
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页码：49 / 63
页数：15
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