Skip to main content
Log in

On the L 2w -Solutions of General Second-Order Nonsymmetric Differential Equations

  • Published:
Siberian Mathematical Journal 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. Amos R. J., “On the Dirichlet and limit-circle criteria for second-order differential expressions,” Quaestiones Math., 3,53–65 (1978).

    Google Scholar 

  2. Atkinson F. V. and Evans W. D., “On solutions of a differential equation which are not of integrable square,” Math. Z., 127, 323–332 (1972).

    Google Scholar 

  3. Edmunds D. E and Evans W. D., Spectral Theory and Differential Operators, Oxford, Oxford Univ. Press (1987).

    Google Scholar 

  4. Evans W. D., “Regularly solvable extensions of non-self-adjoint ordinary differential operators,” Proc. R. Soc. Edinburgh Sect. A 97,79–95 (1984).

    Google Scholar 

  5. Naľmark N. A., Linear Differential Operators, Frederick Ungar, New York (1968).

    Google Scholar 

  6. Sobhy El-sayed Ibrahim, “Boundedness for solutions of general ordinary quasi-differential equations,” J. Egypt Math. Soc., 2, 33–44 (1994).

    Google Scholar 

  7. Zettl A., “Formally self-adjoint quasi-differential operators,” Rocky Mountain J. Math., 5, 453–464 (1975).

    Google Scholar 

  8. Everitt W. N. and Zettl A., “Generalized symmetric ordinary differential expressions. I: The general theory,” Nieuw Archief Voor Wiskunde, 27, 363–397 (1979).

    Google Scholar 

  9. Sobhy El-sayed Ibrahim, Problems Associated with Differential Operators (Ph. D. Thesis), Faculty of Science, Department of Mathematics, Benha University, B13518, Egypt (1989).

    Google Scholar 

  10. Rao M. R. M., Linear Differential Equations (Theory and Applications), Edward Arnold, London (1981).

    Google Scholar 

  11. Kauffman R. M., Read T. T., and Zetl A., The Deficiency Index Problems for Power of Ordinary Differential Expressions, Springer-Verlag, Berlin (1977). (Lecture Notes in Math.; 621.)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

About this article

Cite this article

Sobhy El-sayed, I., Faried, N. & Attia, G.M. On the L 2w -Solutions of General Second-Order Nonsymmetric Differential Equations. Siberian Mathematical Journal 42, 174–181 (2001). https://doi.org/10.1023/A:1004814114742

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1023/A:1004814114742

Keywords

Navigation