Skip to main content
Log in

Regularity Conditions for a Pencil of General Ordinary Differential Operators

  • Published:
Differential Equations Aims and scope Submit manuscript

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

REFERENCES

  1. Birkhoff, G.D., Trans. Amer. Math. Soc., 1908, vol. 9, pp. 337–395.

    Google Scholar 

  2. Birkhoff, G.D. and Langer, R.E., Proc. Amer. Acad., 1923, vol. 58, pp. 51–128.

    Google Scholar 

  3. Tamarkin, Ya.D., O nekotorykh obshchikh zadachakh teorii obyknovennykh differentsial'nykh uravnenii i razlozhenii proizvol'nykh funktsii v ryady(On Some General Problems in the Theory of Ordinary Differential Equations and Series Expansions of Arbitrary Functions), Petrograd, 1917.

  4. Tamarkin, J., Math. Z., 1927, vol. 27, pp. 1–54.

    Google Scholar 

  5. Keldysh, M.V., Dokl. Akad. Nauk SSSR, 1951, vol. 77, no. 1, pp. 11–14.

    Google Scholar 

  6. Gokhberg, I.Ts. and Krein, M.G., Vvedenie v teoriyu lineinykh nesamosopryazhennykh operatorov(Introduction to the Theory of Linear Nonself-Adjoint Operators), Moscow, 1965.

  7. Rasulov, M.L., Metod konturnogo integrala(Methods of Contour Integration), Moscow, 1964.

  8. Il'in, V.A., Uspekhi Mat. Nauk, 1958, vol. 13, no. 1, pp. 87–180.

    Google Scholar 

  9. Il'in, V.A., Uspekhi Mat. Nauk, 1958, vol. 13, no. 2, pp. 61–120.

    Google Scholar 

  10. Il'in, V.A., Differents. Uravn., 1980, vol. 16, no. 5, pp. 771–794.

    Google Scholar 

  11. Il'in, V.A., Dokl. Akad. Nauk SSSR, 1983, vol. 273, no. 4, pp. 789–792.

    Google Scholar 

  12. Il'in, V.A., Dokl. Akad. Nauk SSSR, 1983, vol. 273, no. 5, pp. 1048–1053.

    Google Scholar 

  13. Il'in, V.A., Differents. Uravn., 1986, vol. 22, no. 12, pp. 2059–2071.

    Google Scholar 

  14. Il'in, V.A. and Io, I., Differents. Uravn., 1979, vol. 15, no. 7, pp. 1175–1193.

    Google Scholar 

  15. Hopkins, J.W., Trans. Amer. Math. Soc., 1919, vol. 20, pp. 245–259.

    Google Scholar 

  16. Jacksen, D., Proc. Amer. Acad., 1916, vol.51, pp. 383–417.

    Google Scholar 

  17. Ward, L., Ann. Math., 1925, vol. 26, pp. 21–36.

    Google Scholar 

  18. Ward, L., Amer. J. of Math., 1935, vol. 57, pp. 345–362.

    Google Scholar 

  19. Lidskii, V.B., Trudy Mosk. Mat. Obshch., 1962, vol. 11, pp. 3–35.

    Google Scholar 

  20. Khromov, A.P., Mat. Sb., 1966, vol. 70, no. 3, pp. 310–329.

    Google Scholar 

  21. Khromov, A.P., Mat. Sb., 1977, vol. 102(144), no. 3, pp. 457–472.

    Google Scholar 

  22. Kostyuchenko, A.G. and Shkalikov, A.A., Funkts. Analiz, 1978, vol. 12, no. 4, pp. 24–40.

    Google Scholar 

  23. Shkalikov, A.A., Trudy Sem. im. I.G. Petrovskogo, 1983, vol. 9, pp. 190–229.

    Google Scholar 

  24. Eberhard, W., Math. Z., 1976, no. 146, pp. 213–221.

    Google Scholar 

  25. Vagabov, A.I., Vvedenie v spektral'nuyu teoriyu differentsial'nykh operatorov(Introduction to Spectral Theory of Differential Operators), Rostov-on-Don, 1994.

  26. Vagabov, A.I., Dokl. RAN, 1992, vol. 326, no. 2, pp. 219–223.

    Google Scholar 

  27. Freiling, G., Math. Z., 1984, vol. 188, pp. 55–68.

    Google Scholar 

  28. Freiling, G., Z. Angew. Math. und Mech., 1985, vol. 65, no. 5, pp. 336–338.

    Google Scholar 

  29. Vagabov, A.I., Vestn. Dagest. Nauchnogo Tsentra, 2002, no. 13, pp. 10–15.

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vagabov, A.I. Regularity Conditions for a Pencil of General Ordinary Differential Operators. Differential Equations 40, 318–328 (2004). https://doi.org/10.1023/B:DIEQ.0000035769.84940.79

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/B:DIEQ.0000035769.84940.79

Keywords

Navigation