Skip to main content

Sur Les ÉQuations Distributionnelles

  • Chapter
Functional Equations and Inequalities

Part of the book series: C.I.M.E. Summer Schools ((CIME,volume 54))

Abstract

Nous allons considérer des équations concernant des distributions inconnues correspondant aux équations fonctionnelles et cherchons à établir des méthodes pour trouver les solutions les plus générales (dans le domaine des distributions). Les équations que nous allons envisager se réduisent aux équations fonctionnelles usuelles sous la condition que les inconnues sont des fonctions (définissant des distributions).

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 54.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 69.95
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. L. Schwartz: Théorie des distributions. Nouvelle édition. Paris. 1966

    MATH  Google Scholar 

  2. H. Swiatak: On the regularity of the locally integrable solutions of the functional equation..... Publ. Math. Debrecen 15.1968. 49–55

    MathSciNet  MATH  Google Scholar 

  3. I. Fenyö: Über eine Lösungsmethode gewisser Funktionalgleichungen. Acta Math. Hung. 7.1957. 383–396

    Google Scholar 

  4. A. Friedmann: Generalized Functions and partial differential equations. 1963

    Google Scholar 

  5. Fenyö-Frey: Modern Mathematical Methods in Technology. Basel Vol. 1.1969

    Google Scholar 

  6. T. Levi-Civita: Sulle funzioni che ammettono una formula d'addizione … Atti Lincei 22.1913. 181–183

    Google Scholar 

  7. P. Stäck el: Sulla equazione funzionale … Atti Lincei 22.1913. 392–393

    Google Scholar 

  8. W.T. Osgood: Lehrbuch der Funktionentheorie I. 1912. p. 582

    Google Scholar 

  9. I. Fenÿo: Bemerkung zur Funktionalgleichung … Glasnik Matematički. 1.(21) 1966.69–73

    Google Scholar 

  10. I. Aczél-E. Vincze: Über eine gemeinsame Verallgemeinerung zweier Funktionalgleichungen von Jensen. Publ. Math. Debrecen. 10. 1963. 326–344

    MathSciNet  Google Scholar 

  11. W.H. Wilson: Bull. Am. Math. Soc. 26.1920.300–312

    Article  MATH  Google Scholar 

  12. G.van der Lyn: Sur l'équation fonctionnelle … Mathematical Cluj 16. 1939.91–96

    MathSciNet  Google Scholar 

  13. J. Aczél: Sur une equation fonctionnelle. Publ. de l'lnst. Math. de l'Ac. Serbe des Sci. 2.1948.257–262

    Google Scholar 

  14. I. Fenyö: Über die Funktionalgleichung … Acta Math. Hung. (sons presse)

    Google Scholar 

  15. I. Fenyö: On the general solution of a functional equation in the domain of distributions. Aequationes Math. Vol. 3. 1969. 164–174

    Google Scholar 

  16. H. Swiatak: Remarks on the functional equation … Aequationes Math. 1.1968.239–241

    Article  MathSciNet  MATH  Google Scholar 

  17. S. Kurepa: On some functional equations. Glasnik Mat. Fiz. Astr. 11. 1956. 3–5

    MathSciNet  Google Scholar 

  18. J. Erdös: A remark on a paper “On some functional equations” by S. Kurepa. Glasnik Mat. Fiz. Astr. 14. 1959. 3–5

    Google Scholar 

  19. M. Hosszú: On a functional equation treated by S. Kurepa. Glasnik Mat. Fiz. Astr. 18. 1963. 59–60

    MATH  Google Scholar 

  20. A. H. Zemanian: Distribution theory and transform analysis. 1965

    Google Scholar 

  21. J. A. Baker: An analogue of the wave equation and certain related functional equations. Canad. Math. Bull. 12.1969. 837–846

    Article  MathSciNet  MATH  Google Scholar 

  22. G. N. Sakovič: On d'Alembert's formula for vibrating strings. (en russe). Ukrain. Math. Z. (sous presse)

    Google Scholar 

  23. J. Aczel-H. Haruki-M. A. Kiernan-G. N. Sakovic: General and regular solutions of functional equations. Aequationes Math.1.1968. 37–53

    Article  MathSciNet  MATH  Google Scholar 

  24. H. Swiatak: On the regularity of the distributional and continuous solutions… Aequationes Math. 1.1968. 6–19

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

B. Forte (Coordinatore)

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Fenyö, I. (2010). Sur Les ÉQuations Distributionnelles. In: Forte, B. (eds) Functional Equations and Inequalities. C.I.M.E. Summer Schools, vol 54. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11004-7_3

Download citation

Publish with us

Policies and ethics