Skip to main content
SpringerLink
Log in

Green's functions and disconjugacy

  • Published:
Archive for Rational Mechanics and Analysis Aims and scope Submit manuscript

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Bibliography

  1. Čičkin, E.S., A theorem on a differential inequality for multi-point boundary value problems. Izv. Vyss. Učebn. Zaved. Mat. No. 2 (27), 170–179 (1962).

  2. Coppel, W.A., Disconjugacy. Lecture Notes in Mathematics 220. New York: Springer 1971.

    Google Scholar 

  3. Gustafson, G.B., The nonequivalence of oscillation and nondisconjugacy. Proc. Am. Math. Soc. 25, 254–260 (1970).

    Google Scholar 

  4. Hille, E., Non-oscillation theorems. Trans. Amer. Math. Soc. 64, 234–252 (1948).

    Google Scholar 

  5. Howard, H.C., Oscillation criteria for fourth-order linear differential equations. Trans. Amer. Math. Soc. 96, 296–311 (1960).

    Google Scholar 

  6. Kim, W.J., On the zeros of solutions of. J. Math. Anal. Appl. 25, 189–208 (1969).

    Google Scholar 

  7. Kondrat'ev, V.A., Oscillatory properties of solutions of the equation. Trudy Moskov. Mat. Obšč. 10, 419–436 (1961).

    Google Scholar 

  8. Leighton, W., & Z. Nehari, On the oscillation of solutions of self-adjoint linear differential equations of the fourth order. Trans. Amer. Math. Soc. 89, 325–377 (1958).

    Google Scholar 

  9. Levin, A.J., Some questions on the oscillation of solutions of a linear differential equation. Dokl. Akad. Nauk 148, 512–515 (1963).

    Google Scholar 

  10. Levin, A.J., Distribution of the zeros of solutions of a linear differential equation. Dokl. Akad. Nauk 156, 1281–1284 (1964) (Translation: Soviet Math. 5, 818–821 (1964)).

    Google Scholar 

  11. Levin, A.J., The nonoscillation of the solutions of the equation. Usp. Mat. Nauk 24, No. 2 (146), 43–96 (1969).

    Google Scholar 

  12. Nehari, Z., Non-oscillation criteria for n-th order linear differential equations. Duke Math. J. 32, 607–616 (1965).

    Google Scholar 

  13. Nehari, Z., Disconjugate linear differential operators. Trans. Amer. Math. Soc. 129, 500–516 (1967).

    Google Scholar 

  14. Nehari, Z., Nonlinear techniques for linear oscillation problems. Trans. Amer. Math. Soc. 210, 387–406 (1975).

    Google Scholar 

  15. Sherman, T.L., Properties of solutions of n-th order linear differential equations. Pacific J. Math. 15, 1045–1060 (1965).

    Google Scholar 

  16. Swanson, C.A., Comparison and Oscillation Theory of Linear Differential Equations. New York: Academic Press 1968.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Carnegie-Mellon University, Pittsburgh, Pennsylvania

    Zeev Nehari

Authors
  1. Zeev Nehari
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by J. B. McLeod

Rights and permissions

Reprints and permissions

About this article

Cite this article

Nehari, Z. Green's functions and disconjugacy. Arch. Rational Mech. Anal. 62, 53–76 (1976). https://doi.org/10.1007/BF00251856

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00251856

Keywords

Search

Navigation