Zeitschr. für Analysis and Applications, 18, N2, (1999), pp.331-348. PROPERTY C FOR ORDINARY DIFFERENTIAL EQUATIONS AND APPLICATIONS TO INVERSE SCATTERING
نویسنده
چکیده
Property C, that is, completeness of the set of products of some solutions to SturmLiouville equations is proved. Several uniqueness theorems for various inverse scattering problems are obtained in a very simple way with the help of property C. Two classical uniqueness results for inverse scattering problem on the half-axis and for the inverse spectral problem are proved in a very short new way. Earlier the author introduced property C for partial differential equations and used it extensively for proving uniqueness theorems for many inverse problems.
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تاریخ انتشار 1999