Existence of positive solutions for a system of semipositone coupled discrete boundary value problems

ABSTRACT

We study the existence of positive solutions for a system of nonlinear second-order difference equations with parameters and sign-changing nonlinearities, subject to multi-point coupled boundary conditions. In the proof of our main theorems we use the nonlinear alternative of Leray-Schauder type and the Guo-Krasnosel'skii fixed point theorem.

KEYWORDS:

• Difference equations
• multi-point coupled boundary conditions
• positive solutions
• sign-changing nonlinearities

AMS SUBJECT CLASSIFICATIONS:

• 39A10
• 39A12

Acknowledgments

The authors thank the referees for their valuable comments and suggestions.

Disclosure statement

No potential conflict of interest was reported by the authors.