Sınır Koşulunda Öz Parametre Bulunduran Bir Sturm-Liouville Operatörü İçin Ters Nodal Problem

Abstract

In this study, Sturm-Liouville problem with eigenparameter in the boundary condition and more than one potential in the second order differential equation is considered. Asymptotic formulas of the eigenvalues and nodal parameters of this problem are found by Prüfer substitution. In addition, a reconstruction formula is obtained for potential functions.