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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

Linear Space Normed Space Cauchy Sequence Convergent Subsequence Convergent Sequence 
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.

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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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