A new approach to the inverse scattering and spectral problems for the Sturm-Liouville equation

Annalen der Physik (Leipzig)

Volumn 7, Issue 4, 1998, Pages 321-338

  Ramm, A G ^a  

^a KANSAS STATE UNIVERSITY   (United States)

Author keywords

Inverse problems; Inverse scattering; Riemann problem

Indexed keywords

MATHEMATICAL MODELS; PROBLEM SOLVING; THEOREM PROVING;

GELFAND-LEVITAN METHOD; INVERSE SCATTERING; MARCHENKO METHOD; RIEMANN PROBLEM; STURM-LIOUVILLE EQUATION;

INVERSE PROBLEMS;

EID: 0032300457     PISSN: 00033804     EISSN: None     Source Type: Journal    
DOI: 10.1002/(sici)1521-3889(199811)7:4<321::aid-andp321>3.0.co;2-x     Document Type: Article

References (6)

1. B.M. Levitan, Inverse Sturm-Liouville problems, VNU Press, Utrecht 1987
2. V.A. Marchenko, Sturm-Lioville operators and applications, Birkhauser, Basel 1986
3. _, Some problems in the theory of one-dimensional second order differential operators I, Trudy Mosk. Matem. Obshch. 1 (1952), 327-420
4. A.G. Ramm, Multidimensional Inverse Scattering Problems, Longman/Wiley New York 1992; Expanded Russian edition: MIR, Moscow, 1994
5. _, Property C for ODE and applications to inverse scattering, Zeitschr. f. Angew Analysis (1999)
6. _, Inverse scattering on half-line, Jour. Math. Anal. Appl. 133 (1988) no. 2, 543-572