Structure and asymptotic expansion of eigenvalues of an integral-type nonlocal problem

Abstract

We study the structure of eigenvalues of second-order differential equations with nonlocal integral boundary conditions. Moreover, we consider the asymptotic expansion of the eigenvalues and the corresponding eigenfunctions, which shows that the eigenfunctions form a Riesz basis for $L^2([0,1],\mathbb{R})$.

Keywords

• Eigenvalues
• asymptotic expansion
• nonlocal problem
• Riesz basis