SOLVING INVERSE PROBLEMS FOR STURM-LIOUVILLE OPERATORS WITH ONE TURNING POINT

In this work, we propose a method for solving inverse problems of spectral analysis for Sturm-Liouville differential operators having one turning point in a finite interval. We prove a uniqueness theorem in the inverse problem and in partially, in this case, we obtain Hochstadt’s theorem concerning the structure of the difference of potential functions q(x)¡eq(x).