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

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. [ABSTRACT FROM AUTHOR]