New Fixed Point Theorems of Mixed Monotone Operators and Applications to Singular Boundary Value Problems on Time Scales

被引:3
作者
Xu, Huiye [1 ]
机构
[1] N Univ China, Coll Econ & Management, Taiyuan 030051, Shanxi, Peoples R China
来源
BOUNDARY VALUE PROBLEMS | 2011年
关键词
2ND-ORDER 3-POINT PROBLEMS; POSITIVE SOLUTIONS; EXISTENCE; UNIQUENESS;
D O I
10.1155/2011/567054
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Some new existence and uniqueness theorems of fixed points of mixed monotone operators are obtained, and then they are applied to a nonlinear singular second-order three-point boundary value problem on time scales. We prove the existence and uniqueness of a positive solution for the above problem which cannot be solved by using previously available methods.
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页数:14
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