The inverse problem for pencils of differential operators on the half-line with turning points

The inverse spectral problem of recovering pencils of second-order differential operators on the half-line with turning points is studied. We give a formulation of the inverse problem, establish properties of the spectral characteristics, and prove the uniqueness theorem for the solution of the inverse problem. __________ Translated from Fundamentalnaya i Prikladnaya Matematika, Vol. 12, No. 5, pp. 237–246, 2006.