Advertisement

Equadiff 6 pp 149-154 | Cite as

Perron integral, perron product integral and ordinary linear differential equations

  • J. Kurzweil
  • J. Jarník
Lectures Presented In Sections Section A Ordinary Differential Equations
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.

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    KURZWEIL, J.: Nichtabsolut konvergente Integrale. Teubner, Leipzig 1980, Teubner-Texte zur Mathematik, 26.Google Scholar
  2. [2]
    KURZWEIL, J.: The integral as a Limit of Integral Sums. Jahrbuch Überblicke Mathematik 1984, 105–136, Bibliographisches Institut AG 1984.Google Scholar
  3. [3]
    SCHLESINGER, L.: Einführung in die Theorie der gewöhnlichen Differentialgleichungen auf funktionentheoretischer Grundlage. Berlin 1922.Google Scholar
  4. [4]
    GANTMACHER, F. R.: Theory of Matrices. Moskva 1966 (Russian).Google Scholar
  5. [5]
    DOLLARD, J. D. and FRIEDMAN CH. N.: Product Integration with Applications to Differential Equations. Univ. Press, Cambridge 1979.zbMATHGoogle Scholar
  6. [6]
    SAKS, S.: Theory of the Integral. Monografie matematyczne VII. G.E. Stechert, New York-Warszawa 1937.zbMATHGoogle Scholar

Copyright information

© Equadiff 6 and Springer-Verlag 1986

Authors and Affiliations

  • J. Kurzweil
    • 1
  • J. Jarník
    • 1
  1. 1.Mathematical InstituteCzechoslovak Academy of SciencesPrague 1Czech Republic

Personalised recommendations