A representation for the solution of Fredholm integral equations

Authors:
H. H. Kagiwada, R. E. Kalaba and A. Schumitzky

Journal:
Proc. Amer. Math. Soc. **23** (1969), 37-40

MSC:
Primary 45.11

DOI:
https://doi.org/10.1090/S0002-9939-1969-0246057-5

MathSciNet review:
0246057

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Abstract: This paper provides a new representation formula for the solution of Fredholm integral equations of the second kind. The formula has certain computational advantages over the usual representation involving the resolvent or the representation formula of Krein. As an application, the Bellman-Krein partial differential equation for the resolvent is derived.

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DOI:
https://doi.org/10.1090/S0002-9939-1969-0246057-5

Article copyright:
© Copyright 1969
American Mathematical Society