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

Keskin, BakiÇakmak, Yaşar2024-03-012024-03-012023https://journals.tubitak.gov.tr/math/vol47/iss1/26/https://hdl.handle.net/20.500.12418/14507In 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.en10.55730/1300-0098.3367info:eu-repo/semantics/openAccessQuadratic pencil of the Sturm$-$Liouville equations, inverse nodal problem, nonlocal boundary conditionInverse nodal problem for the quadratic pencil of the Sturm-Liouville equations with parameter-dependent nonlocal boundary conditionAnimation4714043972-s2.0-85147673388N/A1160079WOS:000923127700025Q2