Existence of positive solutions for singular ordinary differential equations with nonlinear boundary conditions

被引：5
|
作者：
Bobisud, LE [1 ]
ORegan, D [1 ]
机构：
[1] NATL UNIV IRELAND UNIV COLL GALWAY,DEPT MATH,GALWAY,IRELAND
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 1996年 / 124卷 / 07期
关键词：
boundary value problems; nonlinear boundary conditions; nonlinear alternative;
D O I：
10.1090/S0002-9939-96-03615-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove the existence of nonnegative solutions of the problem (py')'/p + mu qg(x, y) = 0, lim(x-->0+)py' = 0, h(y'(1)) + y(1) = 0 for a physically motivated class of nonlinearity h. The results, which are established using a ''forbidden value'' argument, are new even in the case of linear h.
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页码：2081 / 2087
页数：7
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