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Regular Papers

On the solvability of an inverse problem in the central symmetric case

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Pages 1819-1828 | Received 29 Jun 2010, Accepted 02 Oct 2010, Published online: 25 Jan 2011

References

  • Marchenko , VA . 1986 . Sturm-Liouville Operators and their Applications, Naukova Dumka, Kiev, 1977; English trans. , Basel : Birkhäuser .
  • Yurko , VA . 2000 . The inverse spectral problem for differential operators with nonseparated boundary conditions . J. Math. Anal. Appl. , 250 : 266 – 289 .
  • Yurko , VA . 1994 . On differential operators with nonseparated boundary conditions . Funkt. Analiz Prilozh. , 28 ( 4 ) : 90 – 92 . (in Russian); English transl. in Funct. Anal. Appl. 28(4) (1994), pp. 295–297
  • Stankevich , IV . 1970 . An inverse problem of spectral analysis for Hill's equation . Dokl. Akad. Nauk SSSR , 192 ( 1 ) : 34 – 37 . (in Russian); English trans. in Sov. Math. Dokl. 11 (1970), pp. 582–586
  • Marchenko , VA and Ostrovskii , IV . 1975 . A characterization of the spectrum of the Hill operator . Mat. Sb. , 97 : 540 – 606 . (in Russian); English trans. in Math. USSR Sb. 26(4) (1975), pp. 493–554
  • Yurko , VA . 1975 . An inverse problem for second order differential operators with regular boundary conditions . Mat. Zametki , 18 ( 4 ) : 569 – 576 . (in Russian); English trans. in Math. Notes 18(3–4) (1975), pp. 928–932
  • Plaksina , OA . 1986 . Inverse problems of spectral analysis for the Sturm-Liouville operators with nonseparated boundary conditions . Mat. Sb. , 131 : 3 – 26 . (in Russian); English trans. in Math. USSR Sb. 59(1) (1988), pp. 1–23
  • Guseinov , IM and Nabiev , IM . 1995 . Solution of a class of inverse Sturm-Liouville boundary value problems . Mat. Sb. , 186 ( 5 ) : 35 – 48 . (in Russian); English trans. in Math. USSR Sb. 186(5) (1995), pp. 661–674
  • Freiling , G and Yurko , VA . 2001 . Inverse Sturm-Liouville Problems and their Applications , New York : NOVA Science Publishers .
  • Levitan , BM . 1984 . Inverse Sturm-Liouville Problems , Moscow : Nauka . (in Russian); English trans. VNU Science Press, Utrecht, 1987
  • Pöschel , J and Trubowitz , E . 1987 . Inverse Spectral Theory , New York : Academic Press .
  • Yurko , VA . 2002 . Method of Spectral Mappings in the Inverse Problem Theory, Inverse and Ill-posed Problems Series , Utrecht : VSP .
  • Naimark , MA . 1969 . Linear Differential Operators, , 2nd , Moscow : Nauka . English trans. of 1st ed., Parts I, II, Ungar, New York, 1967, 1968

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