FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2006, VOLUME 12, NUMBER 5, PAGES 237-246

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

V. A. Yurko

Abstract

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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.

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Last modified: February 21, 2007