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Stability Results for Abel Equation

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Constructive Methods for the Practical Treatment of Integral Equations

Part of the book series: International Series of Numerical Mathematics ((ISNM,volume 73))

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Abstract

1. We study some stability question for the Abel equation

$$\frac{1}{{\Gamma (\alpha)}}\smallint _0^x\frac{{K(x,t)u(t)}}{{{{(x - t)}^{1 - \alpha}}}} dt = f(x) (0 \leqslant x \leqslant 1)$$
((1.1))

Here 0<α<1 f and K are given, u is the unknown.

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Author information

Authors and Affiliations

  1. I.A.G.A. (CNR), Via S. Marta 13/A, 50139, Firenze, Italy

    Dr. Sergio Vessella

Authors
  1. Dr. Sergio Vessella
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Editor information

Editors and Affiliations

  1. Mathematisches Institut der, Ludwig-Maximilians-Universität, Theresienstraße 39, D-8000, München 2, Germany

    G. Hämmerlin

  2. Mathematisches Institut, der Universität Augsburg, Memminger Straße 6, D-8900, Augsburg, Germany

    K.-H. Hoffmann

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© 1985 Birkhäuser Verlag Basel

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Vessella, S. (1985). Stability Results for Abel Equation. In: Hämmerlin, G., Hoffmann, KH. (eds) Constructive Methods for the Practical Treatment of Integral Equations. International Series of Numerical Mathematics, vol 73. Birkhäuser Basel. https://doi.org/10.1007/978-3-0348-9317-6_23

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  • DOI: https://doi.org/10.1007/978-3-0348-9317-6_23

  • Publisher Name: Birkhäuser Basel

  • Print ISBN: 978-3-0348-9993-2

  • Online ISBN: 978-3-0348-9317-6

  • eBook Packages: Springer Book Archive

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