Skip to main content
SpringerLink
Log in

Introduction to the asymptotic theory of linear homogeneous difference equations

  • Partie A: Equations Differentielles Ordinaires Dans Le Champ Complexe
  • Conference paper
  • First Online:
Book cover Equations Différentielles et Systèmes de Pfaff dans le Champ Complexe

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 712))

  • 301 Accesses

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

Access this chapter

Log in via an institution
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. BIRKHOFF, G.D. Formal theory of irregular linear difference equations. Acta Math., vol. 54, 1930, p. 205.

    Article  MathSciNet  MATH  Google Scholar 

  2. BIRKHOFF, G.D., and TRJITZINSKY, W.J. Analytic theory of singular difference equations. Acta Math., vol. 60, 1933, p. 1.

    Article  MathSciNet  MATH  Google Scholar 

  3. BRAAKSMA, B.L.J., and HARRIS jr., W.A. On an open problem in the theory of linear difference equations. Neuw Archief voor Wiskunde (3), vol. 23, 1975, p. 228.

    MathSciNet  MATH  Google Scholar 

  4. DOETSCH, G. Handbuch der Laplace Transformation I, II. Verlag Birkhäuser Basel, 1950 and 1955.

    Google Scholar 

  5. HARRIS jr., W.A. Linear systems of difference equations. Contrib. to Diff. Equations, vol. 1, 1963, p. 489.

    MathSciNet  Google Scholar 

  6. HARRIS jr., W.A. Analytic theory of difference equations in Analytic theory of differential equations. Lecture Notes in Math., Springer Verlag, vol. 183, p. 46.

    Google Scholar 

  7. HARRIS jr., W.A., and SIBUYA, Y. On asymptotic solutions of systems of non linear difference equations. Journ. reine angew. Math., vol. 222, 1966, p. 120.

    MathSciNet  MATH  Google Scholar 

  8. TURRITTIN, H.L. The formal theory of systems of irregular homogeneous linear difference and differential equations. Bol. Soc. Mat. Mexicana, vol. 215, 1960, p. 255.

    MathSciNet  MATH  Google Scholar 

  9. WASOW, W. Asymptotic expansions for ordinary differential equations. Interscience Publishers, New York, 1965.

    MATH  Google Scholar 

Download references

Authors
  1. Boele Braaksma
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Raymond Gérard Jean-Pierre Ramis

Rights and permissions

Reprints and permissions

Copyright information

© 1979 Springer-Verlag

About this paper

Cite this paper

Braaksma, B. (1979). Introduction to the asymptotic theory of linear homogeneous difference equations. In: Gérard, R., Ramis, JP. (eds) Equations Différentielles et Systèmes de Pfaff dans le Champ Complexe. Lecture Notes in Mathematics, vol 712. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0062811

Download citation

  • DOI: https://doi.org/10.1007/BFb0062811

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-09250-6

  • Online ISBN: 978-3-540-35314-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation