Normed Spaces

  • Rainer Kress
Part of the Applied Mathematical Sciences book series (AMS, volume 82)

Abstract

The topic of this book is linear integral equations for which
$$\varphi (x) - \int_a^b K (x,y)\varphi (y)dy = f(x),x \in [a,b],,$$
and
$$\varphi (x){\text{ }} - \int_a^b K (x,y)\varphi (y)dy = f(x),x \in [a,b],$$
are typical examples. In these equations the function φ is the unknown and the kernel K and the right hand side ƒ are given functions. The above equations are denoted as Fredholm integral equations of the first and second kind.

Keywords

lIcp 

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Copyright information

© Springer-Verlag Berlin Heidelberg 1989

Authors and Affiliations

  • Rainer Kress
    • 1
  1. 1.Institut für Numerische und Angewandte MathematikUniversität GöttingenGöttingenFed. Rep. of Germany

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