On the maximum of a function connected with the Green function of a focal boundary value problem

TL;DR

This paper proves that a function related to the Green function of a symmetric boundary value problem reaches its maximum on the diagonal, providing insights into the behavior of solutions for such differential equations.

Contribution

It establishes a maximum principle for a function associated with the Green function in even order symmetric focal boundary value problems, a novel theoretical result.

Findings

The function attains its maximum on the diagonal.

The result applies to even order symmetric focal boundary value problems.

Provides a new maximum principle for Green functions in this context.

Abstract

It's proved that a function connected with the Green function of the even order symmetric focal boundary value problem takes its maximal value on the diagonal.