Zeitschrift für Analysis und ihre Anwendungen Vol. 18, No. 2, pp. 331  348 (1999) 

Property C for Ordinary Differential Equations and Applications to Inverse ScatteringA. G. RammA. G. Ramm: Kansas State Univ., Dept. Math., Manhattan, KS 665062602, USA, ramm@math.ksu.edu.Abstract: 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 halfaxis 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. Keywords: property C, inverse scattering, nondestructive testing, remote sensing, SturmLiouville equation Full text of the article:
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