Chapter 3. Linear Integral Equations
Published Online: 24 DEC 2007
DOI: 10.1002/9783527617210.ch3
Copyright © 2004 WILEY-VCH Verlag GmbH & Co. KGaA
Book Title
Methods of Mathematical Physics, Volume I
Additional Information
How to Cite
Courant, R. and Hilbert, D. (2007) Linear Integral Equations, in Methods of Mathematical Physics, Volume I, Wiley-VCH Verlag GmbH, Weinheim, Germany. doi: 10.1002/9783527617210.ch3
Publication History
- Published Online: 24 DEC 2007
- Published Print: 19 APR 1989
ISBN Information
Print ISBN: 9780471504474
Online ISBN: 9783527617210
- Summary
- Chapter
- References
Keywords:
- parameter;
- solution;
- approximation;
- theorem;
- functions;
- integration
Summary
This chapter contains sections titled:
Introduction
Fredholm's theorems for degenerate kernels
Fredholm's theorems for arbitrary kernels
Symmetric kernels and their eigenvalues
The expansion theorem and its applications
Neumann series and the reciprocal kernel
The Fredholm formulas
Another derivation of the theory
Extensions of the theory
Supplement and problems for Chapter III