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Volumn 19, Issue 1, 2002, Pages 235-252

Inverse spectral problem for the Sturm-Liouville equation

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; EIGENVALUES AND EIGENFUNCTIONS; NUMERICAL ANALYSIS; PROBLEM SOLVING;

EID: 0037272293     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/19/1/314     Document Type: Article
Times cited : (38)

References (20)
  • 1
    • 0035531722 scopus 로고    scopus 로고
    • A proof of the local Borg-Marchenko theorem
    • Bennewitz C 2001 A proof of the local Borg-Marchenko theorem Commun. Math. Phys. 218 131-2
    • (2001) Commun. Math. Phys. , vol.218 , pp. 131-132
    • Bennewitz, C.1
  • 2
    • 33646975016 scopus 로고
    • Eine umkehrung der Sturm-Liouvilleschen eigenwertaufgabe. Bestimmung der differential-gleichung durch die eigenwerte
    • Borg G 1946 Eine umkehrung der Sturm-Liouvilleschen eigenwertaufgabe. Bestimmung der differential-gleichung durch die eigenwerte Acta Math. 78 1-96
    • (1946) Acta Math. , vol.78 , pp. 1-96
    • Borg, G.1
  • 3
    • 0013235023 scopus 로고
    • Inverse problems in the theory of characteristic values of differential systems
    • (Gjellerups Forlag, Copenhagen, July 1947)
    • Borg G 1947 Inverse problems in the theory of characteristic values of differential systems C. R. Dixième Congrès Math. Scandinaves 1946 (Gjellerups Forlag, Copenhagen, July 1947) pp 172-80
    • (1947) C. R. Dixième Congrès Math. Scandinaves 1946 , pp. 172-180
    • Borg, G.1
  • 5
    • 0001649889 scopus 로고
    • On the determination of a differential equation from its spectral function
    • Gel'fand I M and Levitan B M 1955 On the determination of a differential equation from its spectral function Am. Math. Soc. Transl. 1 253-304
    • (1955) Am. Math. Soc. Transl. , vol.1 , pp. 253-304
    • Gel'Fand, I.M.1    Levitan, B.M.2
  • 6
    • 0034348993 scopus 로고    scopus 로고
    • On local Borg-Marchenko uniqueness results
    • Gesztesy F and Simon B 2000 On local Borg-Marchenko uniqueness results Commun. Math. Phys. 211 273-87
    • (2000) Commun. Math. Phys. , vol.211 , pp. 273-287
    • Gesztesy, F.1    Simon, B.2
  • 7
    • 0003228766 scopus 로고    scopus 로고
    • A variational algorithm for electrical impedance tomography
    • Knowles I 1998 A variational algorithm for electrical impedance tomography Inverse Problems 14 1513-25
    • (1998) Inverse Problems , vol.14 , pp. 1513-1525
    • Knowles, I.1
  • 8
    • 0035418824 scopus 로고    scopus 로고
    • Descent methods for inverse problems
    • Knowles I W 2001 Descent methods for inverse problems Nonlinear Anal. 47 3235-45
    • (2001) Nonlinear Anal. , vol.47 , pp. 3235-3245
    • Knowles, I.W.1
  • 9
    • 0002370348 scopus 로고
    • The inverse Sturm-Liouville problem
    • Levinson N 1949 The inverse Sturm-Liouville problem Mat. Tidsskr. B 1949 25-30
    • (1949) Mat. Tidsskr. B , vol.1949 , pp. 25-30
    • Levinson, N.1
  • 16
    • 0013242278 scopus 로고    scopus 로고
    • A new approach to inverse spectral theory. III. Short-range potentials
    • Ramm A and Simon B 2000 A new approach to inverse spectral theory. III. Short-range potentials J. Anal. Math. 80 319-34
    • (2000) J. Anal. Math. , vol.80 , pp. 319-334
    • Ramm, A.1    Simon, B.2
  • 17
    • 84968515990 scopus 로고
    • Reconstruction techniques for classical inverse Sturm-Liouville problems
    • Rundell W and Sacks P E 1992 Reconstruction techniques for classical inverse Sturm-Liouville problems Math. Comput. 58 161-83
    • (1992) Math. Comput. , vol.58 , pp. 161-183
    • Rundell, W.1    Sacks, P.E.2
  • 18
  • 19
    • 0033235955 scopus 로고    scopus 로고
    • A new approach to inverse spectral theory. I. Fundamental formalism
    • Simon B 1999 A new approach to inverse spectral theory. I. Fundamental formalism Ann. Math. 150 1029-57
    • (1999) Ann. Math. , vol.150 , pp. 1029-1057
    • Simon, B.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.