Stability of the basis property of eigenvalue systems of Sturm-Liouville operators with integral boundary condition

Abstract

We study a question on stability and instability of the basis property of a system of eigenfunctions of the Sturm - Liouville operator, with an integral perturbation of anti-periodic type on the boundary conditions.

Keywords

• Sturm-Liouville operator basis property
• eigenfunction
• eigenvalue
• non self-adjoint problem
• anti-periodic boundary condition
• perturbation
• stability