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45: Integral equations


Introduction

Integral equations, naturally, seek functions which satisfy relationships with their integrals. For example, the value of a function at each time may be related to its average value over all preceding time. Included in this area are equations mixing integration and differentiation. Many of the themes from differential equations recur: qualitative questions, methods of approximation, specific types of equations of interest, transforms and operators useful for simplifying the problems.

History

Applications and related fields

[Schematic of subareas and related areas]

Subfields

Browse all (old) classifications for this area at the AMS.


Textbooks, reference works, and tutorials

Wing, G. Milton: "A primer on integral equations of the first kind. The problem of deconvolution and unfolding", Society for Industrial and Applied Mathematics (SIAM), Philadelphia, PA, 1991. 135 pp. ISBN 0-89871-263-7 MR93d:45001

Jörgens, Konrad: "Linear integral operators", Surveys and Reference Works in Mathematics, 7. Pitman (Advanced Publishing Program), Boston, Mass.-London, 1982. 379 pp. ISBN 0-273-08523-9 MR83j:45001

Software and tables

Integral equations software

Other web sites with this focus

Selected topics at this site


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Last modified 2000/01/14 by Dave Rusin. Mail: