Uniqueness theorem of differential system with coupled integral boundary conditions

Abstract

The paper is devoted to study the uniqueness of solutions for a differential system with coupled integral boundary conditions under a Lipschitz condition. Our approach is based on the Banach's contraction principle. The interesting point is that the Lipschitz constant is related to the spectral radius corresponding to the related linear operators.

Keywords

• differential system
• coupled integral boundary conditions
• spectral radius
• banach's contraction principle