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

Authors

YAŞAR ÇAKMAK
BAKİ KESKİN

DOI

10.55730/1300-0098.3367

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

First Page

397

Last Page

404

Recommended Citation

ÇAKMAK, YAŞAR and KESKİN, BAKİ (2023) "Inverse nodal problem for the quadratic pencil of the Sturm$-$Liouville equations with parameter-dependent nonlocal boundary condition," Turkish Journal of Mathematics: Vol. 47: No. 1, Article 26. https://doi.org/10.55730/1300-0098.3367
Available at: https://journals.tubitak.gov.tr/math/vol47/iss1/26