Inverse nodal problem for the quadratic pencil of the Sturm$-$Liouville equations with parameter-dependent nonlocal boundary condition

Authors: YAŞAR ÇAKMAK, BAKİ KESKİN

Abstract: In this paper, we consider the inverse nodal problem for a quadratic pencil of the Sturm$-$Liouville equations with parameter-dependent Bitsadze$-$Samarskii type nonlocal boundary condition and we give an algorithm for the reconstruction of the potential functions by obtaining the asymptotics of the nodal points.

Keywords: Quadratic pencil of the Sturm$-$Liouville equations, inverse nodal problem, nonlocal boundary condition

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