Skip to main content

On the absence of square-integrable solutions of the Sturm-Liouville equation

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

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 564))

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 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 59.00
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. S. Agmon, J. d'Analyse Math. 23 (1970) 1–25.

    Article  MathSciNet  Google Scholar 

  2. F.V. Atkinson, Ann. Mat. Pur. Appl. (4) 37 (1954) 347–78.

    Article  Google Scholar 

  3. G. Borg, Amer. J. Math. 73 (1951) 122–6.

    Article  MathSciNet  Google Scholar 

  4. J. Chaudhuri and W.N. Everitt, Proc. Roy. Soc. Edinburgh (A) 68 (1968) 95–119.

    Google Scholar 

  5. N.Dunford and J.T.Schwartz, Linear operators, Part 2 (Interscience, 1963).

    Google Scholar 

  6. M.S.P. Eastham and M.L. Thompson, Quart. J. Math. (Oxford) (2) 24 (1973) 531–5.

    Article  MathSciNet  Google Scholar 

  7. W.N. Everitt, Applicable Analysis 2 (1972) 143–60.

    Article  MathSciNet  Google Scholar 

  8. H. Kalf, Israel J. Math. 20 (1975) 57–69.

    Article  MathSciNet  Google Scholar 

  9. T. Kato, Commun. Pure Appl. Math. 12 (1959) 403–25.

    Article  Google Scholar 

  10. K. Kreith, Proc. Amer. Math. Soc. 14 (1963) 809–11.

    Article  MathSciNet  Google Scholar 

  11. H.E. Moses and S.F. Tuan, Nuovo Cimento 13 (1959) 197–206.

    Article  Google Scholar 

  12. E. Müller-Pfeiffer, Math. Nachr. 60 (1974) 43–52, 62 (1974) 163–78, 67 (1975) 255–63.

    Article  MathSciNet  Google Scholar 

  13. E.Müller-Pfeiffer, Czechoslovak Math. J., to appear.

    Google Scholar 

  14. J. von Neumann and E. Wigner, Z. Physik 50 (1929) 465–7.

    Google Scholar 

  15. F. Odeh, Proc. Amer. Math. Soc. 16 (1965) 363–6.

    Article  MathSciNet  Google Scholar 

  16. H.-W. Rohde, Math. Z. 112 (1969) 375–88.

    Article  MathSciNet  Google Scholar 

  17. B. Simon, Commun. Pure Appl. Math. 22 (1969) 531–8.

    Article  Google Scholar 

  18. S. Wallach, Amer. J. Math. 70 (1948) 833–41.

    Article  MathSciNet  Google Scholar 

  19. J. Weidmann, Math. Z. 98 (1967) 268–302.

    Article  MathSciNet  Google Scholar 

  20. A. Wintner, Amer. J. Math. 68 (1946) 385–97.

    Article  MathSciNet  Google Scholar 

Download references

Authors

Editor information

William N. Everitt Brian D. Sleeman

Rights and permissions

Reprints and permissions

Copyright information

© 1976 Springer-Verlag

About this paper

Cite this paper

Eastham, M.S.P. (1976). On the absence of square-integrable solutions of the Sturm-Liouville equation. In: Everitt, W.N., Sleeman, B.D. (eds) Ordinary and Partial Differential Equations. Lecture Notes in Mathematics, vol 564. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0087328

Download citation

  • DOI: https://doi.org/10.1007/BFb0087328

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-08058-9

  • Online ISBN: 978-3-540-37517-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics