Skip to main content

Remark on bifurcation problems with several parameters

  • Conference paper
  • First Online:
Ordinary and Partial Differential Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 846))

Abstract

Some ideas on bifurcation problems with several parameters are collected an different phenomena are illustrated on examples of bifurcation problems which one can sole explicitely. The examples are dealing not only with differential equations but also with other fields.

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

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 34.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 46.00
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  • [72] Atkinson, F.V.: Multiparameter Eigenvalue Problems in Vol. I: Matrices and Compact Operators, Academic Press, New York, 1972.

    MATH  Google Scholar 

  • [73] Berge, Cl.: Graphs and Hypergraphs, Nord Holland Publ. Comp., 1973, 528 S.

    Google Scholar 

  • [80] Browne, P.J. and B.D. Sleeman: Applications of multiparameter spectral theory to special functions, Math. Proc. Camb. Phil. Soc. (1980) 87, 275–283.

    Article  MathSciNet  MATH  Google Scholar 

  • [63] Collatz, L.: Eigenwertaufgaben mit technischen Anwendungen, Leipzig 1963.

    Google Scholar 

  • [68] Collatz, L.: Multiparametric Eigenvalue Problems in Inner-product Spaces, Journ. Computer System Sciences 2 (1968), 333–341.

    Article  MathSciNet  MATH  Google Scholar 

  • [76] Collatz, L.: Bifurcation diagrams, Proc. Conference Diff. Equat. Dundee, 1976, Springer Lecture Notes in Math. 564 (1976) 41–53.

    MathSciNet  MATH  Google Scholar 

  • [77] Collatz, L.: Verzweigungsdiagramme und Hypergraphen, Internat.Ser.Num.Math. 38 (1977), 9–42.

    MathSciNet  MATH  Google Scholar 

  • [77] Dickey, R.W.: Bifurcation problems in nonlinear elasticity Pitman 1977, 119 p.

    Google Scholar 

  • [66] Gut, J.: Kipp-Probleme als zusammengesetzte Stabilitätsaufgaben, Schweizerische Bauzeitung 84 (1966), p. 38–41.

    Google Scholar 

  • [67] Hadeler, K.P.: Mehrparametrige und nichtlineare Eigenwertaufgaben, Archive Rat.Math.Mech 27 (1967), 306–328.

    Article  MathSciNet  MATH  Google Scholar 

  • [74] Sleeman, B.D.: Left-definite multiparameter eigenvalue problems, in "Proceedings, Symposium on Spectral Theory and Differential Equations," pp. 307–321, Lecture Notes in Mathematics, No. 488, Springer-Verlag, Berlin, 1974.

    Google Scholar 

  • [79] Sleeman, B.D.: Klein Oscillation theorems for multiparameter eigenvalue problems in ordinary differential equations, Nieuw archief voor wiskunde (3), 27 (1979), 341–362.

    MathSciNet  MATH  Google Scholar 

  • [71] Stakgold, I.: Branching of Solutions of nonlinear Equations, SIAM REVIEW 13 (1971) 289–332.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Authors

Editor information

W. N. Everitt B. D. Sleeman

Rights and permissions

Reprints and permissions

Copyright information

© 1981 Springer-Verlag

About this paper

Cite this paper

Collatz, L. (1981). Remark on bifurcation problems with several parameters. In: Everitt, W.N., Sleeman, B.D. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 846. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0089827

Download citation

  • DOI: https://doi.org/10.1007/BFb0089827

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-10569-5

  • Online ISBN: 978-3-540-38538-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics