On the inverse problem for the regular Sturm-Liouville operator

Inverse Problems

Volumn 12, Issue 3, 1996, Pages 207-217

  Daskalov, V B ^a  

^a UNIVERSITY OF SOFIA   (Bulgaria)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0011654426     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/12/3/003     Document Type: Article

References (12)

1. Barcilon V 1974 Iterative solution of the inverse Sturm-Lioville problem J. Math. Phys. 15 429-36
2. Borg G 1946 Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe Acta Math. (Uppsala) 78 1-96
3. Buys M and Finkel A 1984 The inverse periodic problem for Hill's equation with a finite-gap potential J. Diff. Eq. 55 257-75
4. Crum M M 1955 Associated Sturm-Liouville systems Quart. J. Math. (Oxford) 6 121-25
5. Daskalov V B 1992 On the inverse problems for the regular Sturm-Liouville operator Compt. Rend. Acad. Bulg. Sci. 45 17-20
6. Hochstadt H 1973 The inverse Sturm-Liouville problem Commun. Pure Appl. Math. 26 715-29
7. Iliev I D, Khristov E Kh and Kirchev K P 1994 Spectral Methods in Soliton Equations (London: Longman)
8. Isaacson E L, McKean H P and Trubowitz E 1984 The inverse Sturm-Liouville problem II Commun. Pure Appl. Math. 37 1-11
9. Levitan B M 1984 Inverse Sturm-Liouville Problem (Moscow: Nauka) (in Russian)
10. Levitan B M 1978 On determination of Sturm-Liouville problem from one or two spectra Izv. AN SSSR, Ser. Mat. 42 185-99 (in Russian)
11. Novikov S, Manakov S V, Pitaevskij L P and Zakharov V E 1980 Theory of Solitons (Moscow: Nauka) (in Russian)
12. Pöschel J and Trubowitz E 1987 Inverse Spectral Theory (Pure Appl. Math. 130) (New York: Academic)