NONLINEAR BOUNDARY VALUE PROBLEMS WITH MULTIPLE POSITIVE SOLUTIONS

被引：0
|
作者：
Baxley, John V. [1 ]
Carroll, Philip T. [1 ]
机构：
[1] Wake Forest Univ, Dept Math, Winston Salem, NC 27109 USA
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2003年
关键词：
boundary value problems; multiple solutions; fixed points;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We give conditions on f(y) which guarantee that the boundary value problem T(n)y(x) = f (y(x)), 0 < x < A, y((2j)) (0) = 0 = y((2j+1)) (A), j = 0,1, ... , n-1, where T-n is the nth iterate of the operator Ty(x) = -1/w(x) (P(x)Y'(x))', have a prescribed number of multiple positive solutions. Our main tool is a fixed point theorem of Krasnosel'skii.
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页码：83 / 90
页数：8
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