Tenth order boundary value problem solution existence by fixed point theorem

Abstract

Abstract In this paper we consider the Green function for a boundary value problem of generic order. For a specific case, the Leray–Schauder form of the fixed point theorem has been used to prove the existence of a solution for this particular equation. Our theoretical approach generalizes, extends, complements, and enriches several results in the existing literature.

Keywords

• Boundary value problem
• Green function
• Fixed point
• Leray–Schauder