Existence and uniqueness of positive solutions of boundary value problems for coupled systems of singular second-order three-point non-linear differential and difference equations

Abstract

Using the mixed monotone method we establish the existence and uniqueness of positive solutions for coupled systems of second-order three-point non-linear differential and difference equations. The theorems obtained are very general and complement previously known results.

Keywords:

• Coupled systems of boundary value problem
• positive solutions
• existence
• uniqueness

AMS Subject Classifications:

• 34B15
• 34B16
• 39A10

Acknowledgements

The work was supported by the National Natural Science Foundation of China (No.10571021) and Subject Foundation of Harbin University (No. HXK200714).