Property C for Ordinary Differential Equations and Applications to Inverse Scattering

@inproceedings{Ramm1999PropertyCF,
  title={Property C for Ordinary Differential Equations and Applications to Inverse Scattering},
  author={Alexander G. Ramm},
  year={1999}
}
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… CONTINUE READING

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