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On certain triple integral equations with trigonometric kernels

Published online by Cambridge University Press:  18 May 2009

D. C. Stocks
Affiliation:
Royal Military, College of Science, Shrivenham
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In this note we formally solve the following triple integral equations,

where f1(x), f2(x) and f3(x) are integrable for 0<x<α, α<x<β and β<x<∞, respectively, and the function g(λ) is assumed to satisfy sufficient conditions for the Fourier sine transform to exist. A special case of this system arose in a problem concerned with transistors.

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Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 1976