Skip to main content

Reconstruction of Singular Nonself-Adjoint Differential Operators with a Singularity Inside an Interval

This is a preview of subscription content, access via your institution.

REFERENCES

  1. 1.

    Freiling, G. and Yurko, V.A., Results in Mathematics, 1999, vol. 35, pp. 228-249.

    Google Scholar 

  2. 2.

    Lapwood, F.R. and Usami, T., Free Oscillations of the Earth, Cambridge, 1981.

  3. 3.

    Constantin, A., J. Funct. Anal., 1998, vol. 155, no.2, pp. 352-363.

    Google Scholar 

  4. 4.

    Tamarkin, Ya.D., O nekotorykh obshchikh zadachakh teorii obyknovennykh lineinykh differentsial'nykh uravnenii (On Some General Problems of Theory of Ordinary Linear Differential Equations), Petrograd, 1917.

  5. 5.

    Naimark, M.A., Lineinye differentsial'nye operatory (Linear Differential Operators), Moscow, 1969.

  6. 6.

    Il'in, V.A., Spektral'naya teoriya differentsial'nykh operatorov (Spectral Theory of Differential Operators), Moscow, 1991.

  7. 7.

    Levitan, B.M. and Sargsyan, I.S., Vvedenie v spektral'nuyu teoriyu (Introduction to Spectral Theory), Moscow, 1970.

  8. 8.

    Marchenko, V.A., Operatory Shturma-Liuvillya i ikh prilozheniya (Sturm-Liouville Operators and Their Applications), Kiev, 1977.

  9. 9.

    Levitan, B.M., Obratnye zadachi Shturma-Liuvillya (Inverse Sturm-Liouville Problems), Moscow, 1984.

  10. 10.

    Stashevskaya, V.V., Dokl. Akad. Nauk SSSR, 1953, vol. 93, pp. 409-412.

    Google Scholar 

  11. 11.

    Gasymov, M.G. and Amirov, R.Kh., Dokl. Akad. Nauk AzSSR, 1985, vol. 41, no.8, pp. 3-7.

    Google Scholar 

  12. 12.

    Zhornitskaya, L.A. and Serov, V.S., Inverse Problems, 1994, vol. 10, no.4, pp. 975-987.

    Google Scholar 

  13. 13.

    Panakhov, E.S., Dokl. Akad. Nauk AzSSR, 1980, vol. 36, no.10, pp. 6-10.

    Google Scholar 

  14. 14.

    Yurko, V.A., Differents. Uravn., 1992, vol. 28, no.8, pp. 1355-1362.

    Google Scholar 

  15. 15.

    Yurko, V.A., Inverse Problems, 1993, vol. 9, pp. 495-502.

    Google Scholar 

  16. 16.

    Yurko, V.A., Mat. Sb., 1995, vol. 186, no.6, pp. 133-160.

    Google Scholar 

  17. 17.

    Yurko, V.A., Integral Transforms and Special Functions, 1997, vol. 5, no.3-4, pp. 309-322.

    Google Scholar 

  18. 18.

    Hald, O.H., Comm. Pure Appl. Math., 1984, vol. 37, pp. 539-577.

    Google Scholar 

  19. 19.

    Shepelsky, D.G., Advances in Soviet Math., 1994, vol. 19, pp. 209-231.

    Google Scholar 

  20. 20.

    Yurko, V.A., Integral Transforms and Special Functions, 2000, vol. 10, no.2, pp. 141-164.

    Google Scholar 

  21. 21.

    Yurko, V.A., Inverse Spectral Problems for Differential Operators and Their Applications, Amsterdam: Gordon and Breach, 2000.

    Google Scholar 

Download references

Author information

Affiliations

Authors

Rights and permissions

Reprints and Permissions

About this article

Cite this article

Yurko, V.A. Reconstruction of Singular Nonself-Adjoint Differential Operators with a Singularity Inside an Interval. Differential Equations 38, 678–694 (2002). https://doi.org/10.1023/A:1020214825432

Download citation

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Equation
  • Differential Operator