Research Article
New Fixed Point Theorems of Mixed Monotone Operators and Applications to Singular Boundary Value Problems on Time Scales
Author affiliations
College of Economics and Management, North University of China, Taiyuan, Shanxi 030051, China
Citation and License
Boundary Value Problems 2011, 2011:567054 doi:10.1155/2011/567054
Published: 21 December 2010Abstract
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.
