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.

DOI

10.55730/1300-0098.3367

Keywords

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

First Page

397

Last Page

404

Recommended Citation

ÇAKMAK, Y, & KESKİN, B (2023). Inverse nodal problem for the quadratic pencil of the Sturm$-$Liouville equations with parameter-dependent nonlocal boundary condition. Turkish Journal of Mathematics 47 (1): 397-404. https://doi.org/10.55730/1300-0098.3367