Confining a non-negative solution between a lower and upper solution for a sixth-degree boundary value problem

Abstract

Introduction/purpose: The aim of the paper is to prove the existence of solutions for a special case of the sixth-order boundary value problem. Methods: The Leray-Schauder fixed point theorem is used in order to determine lower and upper bound solutions. Results: Lower and upper bound solutions have been found. Conclusions: The sixth-order boundary value problem admits solutions.

Keywords

• leray-schauder nonlinear alternative
• green’s function
• fixed point theorem
• lower and upper solutions
• boundary value problem