Solvability of a Class of N -th Order Linear Focal Problems

Abstract

This paper presents a recursive method which yields necessary and sufficient conditions for the existence of solutions of a class of n-th order linear focal boundary value problems in the interior of a given interval, in the form of integral inequalities. Some results on the sign of the derivatives of the Green functions of n-th order linear focal boundary value problems will also be provided.

Keywords

• disfocality
• n-th order linear boundary value problem
• Green function
• cone theory
• Lyapunov inequality