Skip to main content

Ordinary linear differential equations — A survey of the global theory

  • Plenary Lectures
  • Conference paper
  • First Online:
Equadiff 6

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1192))

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. Birkhoff, G.D.: On the solutions of ordinary linear homogeneous differential equations of the third order, Annals of Math. 12 (1910/11), 103–124.

    Article  MathSciNet  MATH  Google Scholar 

  2. Basse, A.L.: Manifolds All of Whose Geodesics are Closed, Ergenisse, Vol. 93, Springer, Berlin & New York, 1978.

    Book  Google Scholar 

  3. Borůvka, O.: Linear differentialtrans formationen 2. Ordnung, VEB Berlin 1967; Linear Differential TRansformations of the Second Order, The English Univ. Press, London 1971.

    Google Scholar 

  4. Čadek, M.: A form of general pointwise transformations of linear differential equations, Czechoslovak Math. J. (in print).

    Google Scholar 

  5. Hustý, Z.: Die Iteration homogener linear Differentialglei chungen, Publ. Fac. Sci. Univ. J.E. Purkyně (Brno) 449 (1964), 23–56.

    Google Scholar 

  6. Kummer, E.: De generali quadam alquatione differentiali tentii crdinis. Progr. Evang. Königl. & Stadtgymnasiums Liegnitz 1834.

    Google Scholar 

  7. Neuman, F.: Relation between the distribution of the zeros of the solutions of a 2nd order linear differential equation and the boundedness of these solutions, Acta Math. Acad. Sci. Hungar. 19 (1968), 1–6.

    Article  MathSciNet  Google Scholar 

  8. Neuman, F.: Linear differential equations of the second order and their applications, Rend. Math. 4 (1971), 559–617.

    MathSciNet  MATH  Google Scholar 

  9. Neuman, F.: Geometrical approach to linear differential equations of the n-th order, Rend. Mat. 5 (1972), 579–602.

    MathSciNet  MATH  Google Scholar 

  10. Neuman, F.: On two problems about oscillation of linear differential equations of the third order, J. Diff. Equations 15 (1974), 589–596.

    Article  MathSciNet  MATH  Google Scholar 

  11. Neuman, F.: On solutions of the vector functional equation y(ξ(x))=l(x).A.y(x), Aequationes Math. 16 (1977), 245–257.

    Article  MathSciNet  MATH  Google Scholar 

  12. Neuman, F.: A survey of global properties of linear differential equations of the n-th order, in: Lecture Notes in Math. 964, 343–563.

    Google Scholar 

  13. Neuman, F.: Global canonical forms of linear differential equations, Math. Slovaca 33, (1983), 389–394.

    MathSciNet  Google Scholar 

  14. Neuman, F.: Stationary groups of linear differential equations, Czechoslovak Math. J. 34 (109) (1984), 645–663.

    MathSciNet  MATH  Google Scholar 

  15. Posluszny, J. and Rubel, L.A.: The motion of an ordinary differential equation, J. Diff. Equations 34 (1979), 291–302.

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Jaromír Vosmanský Miloš Zlámal

Rights and permissions

Reprints and permissions

Copyright information

© 1986 Equadiff 6 and Springer-Verlag

About this paper

Cite this paper

Neuman, F. (1986). Ordinary linear differential equations — A survey of the global theory. In: Vosmanský, J., Zlámal, M. (eds) Equadiff 6. Lecture Notes in Mathematics, vol 1192. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076052

Download citation

  • DOI: https://doi.org/10.1007/BFb0076052

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-16469-2

  • Online ISBN: 978-3-540-39807-3

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics