Reconstruction of the nonlocal Sturm-Liouville operator with boundary conditions depending on the parameter

Abstract

In the present paper, we consider the Sturm--Liouville equation with nonlocal boundary conditions depending polynomially on the parameter. We obtain a result and give an algorithm for the reconstruction of the coefficients of the problem using asymptotics of the nodal points.

Keywords

• nodal points
• Sturm-Liouville equation
• nonlocal boundary conditions
• inverse problem

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