Skip to main content
SpringerLink
Log in

Solution of a nonlinear Sturm-Liouville eigenvalue problem and the question of motion stability in intersecting storage rings

  • Published:
Lettere al Nuovo Cimento (1971-1985)

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. A. A. Kolomensky andA. N. Lebedev:Theory of Cyclic Accelerators (New York, N. Y., 1966).

  2. M. Month andJ. C. Herrera (Editors):Nonlinear dynamics and the beam-beam interaction, inAIP Conference Proceedings (New York, N. Y., 1979).

  3. C. Eminhizer, P. Vuillermot, T. Bountis andR. Helleman:Variational studies of the beam-beam interaction, Brookhaven National Laboratory Report BNL 25703, p. 25–59 (1979).

  4. P. A. Vuillermot:Nonlinear Hill's equations and the beam-beam interaction, inProceedings of the Beam-Beam Interaction Seminar, SLAC-PUB-2624, CONF. 8005102, p. 312–331 (1980).

  5. R. Courant andD. Hilbert:Methoden der Mathematischen Physik, Vol.1, chapt.4 (Berlin, 1931), p. 179.

    Google Scholar 

  6. P. A. Vuillermot:One-parameter families of Shurm-Liouville eigenfunctions for a class of nonlinear Hill's equations, to be submitted toCommun. Pure Appl. Math. (1981).

  7. P. A. Vuillermot:A class of Orlicz-Sobolev spaces with applications to variational problems involving nonlinear Hill's equations, to appear inJ. Math. Anal. Appl. (1981).

  8. H. Amann andE. Zehnder:Multiple periodic solutions for a class of nonlinear autonomous wave equations, University of Zurich, preprint (1981).

  9. H. Amann:On the unique solvability of semi-linear operator equations in Hilbert spaces, University of Zurich, preprint (1981).

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Emory University, 30322, Atlanta, Ga.

    P. A. Vuillermot

Authors
  1. P. A. Vuillermot
    View author publications

    You can also search for this author in PubMed Google Scholar

Additional information

Work supported in part by the Emory University Research Committee under Grant WOOD RES 4369 and in part under NSF-Grant INT-8024147.

Lecture delivered at the Sixth International Conference on Mathematical Physics, Berlin, West Germany, August 1981.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Vuillermot, P.A. Solution of a nonlinear Sturm-Liouville eigenvalue problem and the question of motion stability in intersecting storage rings. Lett. Nuovo Cimento 33, 154–158 (1982). https://doi.org/10.1007/BF02725527

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02725527

Search

Navigation