Positive solutions of higher-order boundary-value problems

被引:20
|
作者
Kong, LJ [1 ]
Kong, QK [1 ]
机构
[1] No Illinois Univ, Dept Math Sci, De Kalb, IL 60115 USA
关键词
existence; non-existence; positive solutions; lower and upper solutions; Schauder fixed-point theorem;
D O I
10.1017/S0013091504000860
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We consider a class of even-order boundary-value problems with nonlinear boundary conditions and an eigenvalue parameter lambda in the equations. Sufficient conditions are obtained for the existence and non-existence of positive solutions of the problems for different values of lambda.
引用
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页码:445 / 464
页数:20
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