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

Boundary value problems

Huiye Xu¹ 

[1] College of Economics and Management, North University of China, Taiyuan, Shanxi, China

关键词: Unique Fixed Point;    Iterative Sequence;    Nonlocal Boundary;    Singular Boundary;    Unique Positive Solution;   

DOI  :  10.1155/2011/567054

学科分类：数学（综合）

来源: SpringerOpen

【 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.

【 授权许可】

CC BY