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)


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    KURZWEIL, J.: Nichtabsolut konvergente Integrale. Teubner, Leipzig 1980, Teubner-Texte zur Mathematik, 26.Google Scholar
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    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
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    GANTMACHER, F. R.: Theory of Matrices. Moskva 1966 (Russian).Google Scholar
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    DOLLARD, J. D. and FRIEDMAN CH. N.: Product Integration with Applications to Differential Equations. Univ. Press, Cambridge 1979.zbMATHGoogle Scholar
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    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

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