Skip to main content
Book cover

Equadiff 6 pp 149–154Cite as

Perron integral, perron product integral and ordinary linear differential equations

Lectures Presented In Sections

  • 568 Accesses

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

Keywords

  • Linear Space
  • Measure Zero
  • Mathematical Institute
  • Usual Sense
  • Analogous Manner

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

This is a preview of subscription content, access via your institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   44.99
Price excludes VAT (Canada)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   59.00
Price excludes VAT (Canada)
  • 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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. KURZWEIL, J.: Nichtabsolut konvergente Integrale. Teubner, Leipzig 1980, Teubner-Texte zur Mathematik, 26.

    Google Scholar 

  2. KURZWEIL, J.: The integral as a Limit of Integral Sums. Jahrbuch Überblicke Mathematik 1984, 105–136, Bibliographisches Institut AG 1984.

    Google Scholar 

  3. SCHLESINGER, L.: Einführung in die Theorie der gewöhnlichen Differentialgleichungen auf funktionentheoretischer Grundlage. Berlin 1922.

    Google Scholar 

  4. GANTMACHER, F. R.: Theory of Matrices. Moskva 1966 (Russian).

    Google Scholar 

  5. DOLLARD, J. D. and FRIEDMAN CH. N.: Product Integration with Applications to Differential Equations. Univ. Press, Cambridge 1979.

    MATH  Google Scholar 

  6. SAKS, S.: Theory of the Integral. Monografie matematyczne VII. G.E. Stechert, New York-Warszawa 1937.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and Permissions

Copyright information

© 1986 Equadiff 6 and Springer-Verlag

About this paper

Cite this paper

Kurzweil, J., Jarník, J. (1986). Perron integral, perron product integral and ordinary linear differential equations. In: Vosmanský, J., Zlámal, M. (eds) Equadiff 6. Lecture Notes in Mathematics, vol 1192. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0076062

Download citation

  • DOI: https://doi.org/10.1007/BFb0076062

  • 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