An inverse Sturm-Liouville problem by three spectra

Integral Equations and Operator Theory

Volumn 34, Issue 2, 1999, Pages 234-243

  Pivovarchik, Vyacheslav N ^a  

^a ODESSA STATE ACADEMY OF CIVIL ENGINEERING AND ARCHITECTURE   (Ukraine)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0007325010     PISSN: 0378620X     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF01236474     Document Type: Article

References (10)

1. R.Courant, D.Hilbert. Methods of Mathematical Physics, Vol.1, Interscience, New York, (1953).
2. F.R.Gantmacher, M.G.Krein. Oscillating matrices and kernels and vibrations of mechanical systems (in Russian), GITTL, Moscow-Leningrad, (1950), German transl. Akademie Verlag, Berlin, (1960).
3. F.Gesztesy, B.Simon. Inverse Spectral Analysis With Partial Information on the Potential, II. The Case of Discrete Spectrum, to be published.
4. O.Hald. Discontinuous inverse eigenvalue problems. Communs. on Pure and Appl. Math., Vol.37 (1984), P.537-577.
5. H.Hochstadt, B.Lieberman. An inverse Sturm-Liouville problem with mixed given data, SIAM J. Appl. Math., Vol.34 (1978), P.676-680.
6. B.Ja.Levin, Yu.I.Lyubarskii, Interpolation by entire functions of special classes and related expansions in series of exponents (in Russian), Izv. Acad. Sci. USSR, Vol.39, No.3 (1975), P.657-702.
7. B. Ja.Levin, I.V.Ostrovskii, On small perturbations of sets of roots of sinus-type functions (in Russian), Izv. Akad. Nauk USSR, ser. Mat. Vol.43, (1979), p.87-110.
8. B.M.Levitan, Inverse Sturm-Liouville problems (in Russian), Moscow, Nauka (1984), 240 pp.
9. B.M.Levitan, M.G.Gasymov, Determination of differential equation by two spectra (in Russian), Uspechi Math. Nauk, Vol.19, N 2/116 (1964), P.3-63.
10. V.A.Marchenko, Sturm-Liouville operators and applications, Birkhauser, OT, 22, 1986, 367 pp.