Skip to main content

Multi-parameter eigenvalue problems and k-linear operators

  • Contributed Lectures
  • Conference paper
  • First Online:
Conference on the Theory of Ordinary and Partial Differential Equations

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 280))

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

  1. Arscott F M (1964a). Two-parameter eigenvalue problems in differential equations, Proc. Lond. Math Soc. 14, 459–470.

    Article  MathSciNet  MATH  Google Scholar 

  2. Arscott F M (1964b). Periodic differential equations, (Pergamon).

    Google Scholar 

  3. Atkinson F V (1968). Multi-parameter spectral theory, Bull. Amer. Math. Soc. 74, 1–27.

    Article  MathSciNet  MATH  Google Scholar 

  4. Faierman M (1969). The completeness and expansion theorems associated with the multi-parameter eigenvalue problem in ordinary differential equations, J. Diff. Equations, 5,197–213.

    Article  MathSciNet  MATH  Google Scholar 

  5. Hille E (1948). Functional analysis and semi-groups, Amer. Math. Soc. Publication.

    Google Scholar 

  6. Krasnosel'skii M A (1964). Topological Methods in the Theory of Nonlinear Integral Equations, (Pergamon).

    Google Scholar 

  7. Lyapunov A M (1906). Sur les figures d'equilibre peu differentes des ellipsoides d'une masse liquide homogene douee d'un mouvement de rotation, Zap. Akad. Nauk St Petersburg, 1.

    Google Scholar 

  8. Murray F J and Von Neumann J (1936). On rings of operators, Ann. of Math. 37, 116–229.

    Article  MathSciNet  MATH  Google Scholar 

  9. Schmidt E (1908). Zur theorie der linear und nicht linearen integralgleichungen, Math. Ann. 65, 370–399.

    Article  MathSciNet  Google Scholar 

  10. Sleeman B D (1968). Integral equations and relations for Lame' functions and ellipsoidal wave functions, Proc. Camb. Phil. Soc. 64, 113–126.

    Article  MathSciNet  MATH  Google Scholar 

  11. Sleeman B D (1969). Non-linear integral equations for Heun functions, Proc. Edin. Math. Soc. 16, 281–289.

    Article  MathSciNet  MATH  Google Scholar 

  12. Sleeman B D (1971a). Multi-parameter eigenvalue problems in ordinary differential equations, Bull. Inst. Poli. Jassy 17 (21) 51–60.

    MathSciNet  MATH  Google Scholar 

  13. Sleeman B D (1971b). The two-parameter Sturm-Liouville problem for ordinary differential equations, Proc. Roy. Soc. Edin. 69, 139–148.

    MathSciNet  MATH  Google Scholar 

Download references

Authors

Editor information

W. N. Everitt B. D. Sleeman

Rights and permissions

Reprints and permissions

Copyright information

© 1972 Springer-Verlag

About this paper

Cite this paper

Sleeman, B.D. (1972). Multi-parameter eigenvalue problems and k-linear operators. In: Everitt, W.N., Sleeman, B.D. (eds) Conference on the Theory of Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 280. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0066955

Download citation

  • DOI: https://doi.org/10.1007/BFb0066955

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-05962-2

  • Online ISBN: 978-3-540-37618-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics