Chapter 4. Integral Equations of the Fredholm Type

  1. Dr. Michio Masujima

Published Online: 27 NOV 2009

DOI: 10.1002/9783527627745.ch4

Applied Mathematical Methods in Theoretical Physics, Second Edition

Applied Mathematical Methods in Theoretical Physics, Second Edition

How to Cite

Masujima, M. (2009) Integral Equations of the Fredholm Type, in Applied Mathematical Methods in Theoretical Physics, Second Edition, Wiley-VCH Verlag GmbH & Co. KGaA, Weinheim, Germany. doi: 10.1002/9783527627745.ch4

Author Information

  1. Tokyo, Japan

Publication History

  1. Published Online: 27 NOV 2009
  2. Published Print: 19 AUG 2009

ISBN Information

Print ISBN: 9783527409365

Online ISBN: 9783527627745

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Keywords:

  • theoretical physics;
  • applied mathematical methods;
  • Fredholm integral equation;
  • Pincherle–Goursat kernel

Summary

This chapter contains sections titled:

  • Iterative Solution to the Fredholm Integral Equation of the Second Kind

  • Resolvent Kernel

  • Pincherle–Goursat Kernel

  • Fredholm Theory for a Bounded Kernel

  • Solvable Example

  • Fredholm Integral Equation with a Translation Kernel

  • System of Fredholm Integral Equations of the Second Kind

  • Problems for Chapter 4