Skip to main content
SpringerLink
Log in

Iterations, perturbations and multiplicities for nonlinear bifurcation problems

  • 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

References

  1. Berger, M. S., & M. S. Berger, Perspectives in Nonlinearity. New York: W. A. Benjamin 1968.

    Google Scholar 

  2. Crandall, M. G., & P. H. Rabinowitz, Bifurcation from simple eigenvalues, submitted to J. Funct. Anal.

  3. Keller, H. B., Nonlinear bifurcation. J. Diff. Eqs. 7, 417–434 (1970).

    Google Scholar 

  4. Krasnosel'sky, M. A., Topological Methods in the Theory of Nonlinear Integral Equations. New York: Macmillan Co. 1964.

    Google Scholar 

  5. Langford, W. F., Bifurcation theory of nonlinear boundary value problems, (Thesis) California Institute of Technology, Pasadena, Ca. 1970.

    Google Scholar 

  6. Sather, D., Branching of solutions of an equation in Hilbert space. Arch. Rat. Mech. Anal. 36, 47–64 (1970).

    Google Scholar 

  7. Vainberg, M. M., & V. A. Trenogin, The methods of Lyapunov and Schmidt in the theory of non-linear equations and their further development. Russian Math. Surveys 17, No. 2, 1–60 (1962).

    Google Scholar 

  8. Birkhoff, G. D., & O. D. Kellogg, Invariant points in function space. Trans. Amer. Math. Soc. 23, 96–115 (1922).

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Applied Mathematics, California Institute of Technology, Pasadena

    H. B. Keller & W. F. Langford

  2. Mathematics Department, McGill University, Montreal

    H. B. Keller & W. F. Langford

Authors
  1. H. B. Keller
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. W. F. Langford
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Communicated by L. Cesari

Rights and permissions

Reprints and permissions

About this article

Cite this article

Keller, H.B., Langford, W.F. Iterations, perturbations and multiplicities for nonlinear bifurcation problems. Arch. Rational Mech. Anal. 48, 83–108 (1972). https://doi.org/10.1007/BF00250427

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF00250427

Keywords

Search

Navigation