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Volumn 97, Issue 1, 1996, Pages 17-52

The reconstruction of the attracting potential in the Sturm-Liouville equation through characteristics of negative discrete spectrum

Author keywords

[No Author keywords available]

Indexed keywords

GEOMETRY; LIOUVILLE EQUATION;

EID: 0038873662     PISSN: 00222526     EISSN: None     Source Type: Journal    
DOI: 10.1002/sapm199697119     Document Type: Article
Times cited : (5)

References (23)
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  • 4
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    • English translation
    • L. D. FADDEEV, The inverse scattering problem in quantum theory, Itogi Nauki i Tekhniki: Sovremennye Problemy Mat. 4:93-180 (1974) [English translation in J. Soviet Math. 5(5): (1976)].
    • (1976) J. Soviet Math. , vol.5 , Issue.5
  • 7
    • 0001649889 scopus 로고
    • On the determination of a differential equation from its spectral function
    • I. M. GELFAND and B. M. LEVITAN, On the determination of a differential equation from its spectral function, Izv. Akad. Nauk SSSR. Ser. Mat. 15:309-360 (1951) [English translation in Amer. Math. Soc. Transl. 2(1): (1955)].
    • (1951) Izv. Akad. Nauk SSSR. Ser. Mat. , vol.15 , pp. 309-360
    • Gelfand, I.M.1    Levitan, B.M.2
  • 8
    • 85153316977 scopus 로고
    • English translation
    • I. M. GELFAND and B. M. LEVITAN, On the determination of a differential equation from its spectral function, Izv. Akad. Nauk SSSR. Ser. Mat. 15:309-360 (1951) [English translation in Amer. Math. Soc. Transl. 2(1): (1955)].
    • (1955) Amer. Math. Soc. Transl. , vol.2 , Issue.1
  • 9
    • 0005511375 scopus 로고
    • Multipoint fade approximants in the inverse Sturm-Liouville problem
    • A. A. GONCHAR, G. M. HENKIN, and N. N. NOVIKOVA, Multipoint Fade approximants in the inverse Sturm-Liouville problem, Mat. Sb. 182(8): (1991) [English translation in Math. USSR Sb. 73(2):479-489 (1992)].
    • (1991) Mat. Sb. , vol.182 , Issue.8
    • Gonchar, A.A.1    Henkin, G.M.2    Novikova, N.N.3
  • 10
    • 0002146253 scopus 로고
    • English translation
    • A. A. GONCHAR, G. M. HENKIN, and N. N. NOVIKOVA, Multipoint Fade approximants in the inverse Sturm-Liouville problem, Mat. Sb. 182(8): (1991) [English translation in Math. USSR Sb. 73(2):479-489 (1992)].
    • (1992) Math. USSR Sb. , vol.73 , Issue.2 , pp. 479-489
  • 11
    • 84966215704 scopus 로고
    • An inverse problem in differential equations
    • R. E. LANGER, An inverse problem in differential equations, Bull. Am. Math. Soc. 39:814-820 (1933).
    • (1933) Bull. Am. Math. Soc. , vol.39 , pp. 814-820
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  • 12
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    • The small dispersion limit of the Korteweg-de Vries equation, I-III
    • P. D. LAX and C. D. LEVERMORE, The small dispersion limit of the Korteweg-de Vries equation, I-III, Comm. Pure Appl. Math. 36:253-290, 571-593, 809-830 (1983).
    • (1983) Comm. Pure Appl. Math. , vol.36 , pp. 253-290
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  • 14
    • 0003744099 scopus 로고
    • English translation
    • B. M. LEVITAN and I. S. SARGSIAN, Introduction to Spectral Theory, Nauka, Moscow, 1970 [English translation in Amer. Math. Soc. (1975)].
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  • 17
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    • The representation of the potential in the explicit type through the Weil rational function for the Sturm-Liouville problem on the half-axis
    • in Russian
    • V. M. MARKUSHEVICH, N. N. NOVIKOVA, and E. L. REZNIKOV, The representation of the potential in the explicit type through the Weil rational function for the Sturm-Liouville problem on the half-axis, Dokl. Akad. Nauk SSSR 278(5): 1095-1097 (1984) [in Russian].
    • (1984) Dokl. Akad. Nauk SSSR , vol.278 , Issue.5 , pp. 1095-1097
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  • 19
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    • (1987) Numerical Modelling and Analysis of Geophyisical Processes , vol.20 , pp. 174-185
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