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On the solution of certain dual integral equations

Published online by Cambridge University Press:  18 May 2009

J. Burlak
Affiliation:
North Carolina State College Raleigh, North Carolina, U.S.A.
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1. In this note we consider the formal solution of the dual integral equations

where f(x) and g(x) are given and χ(x) is to be found. The direct solution of these equations has been given by Noble [1] but we shall show that they may be solved more easily if they are first reduced to a form in which g(x) ≡ 0.

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Type
Research Article
Copyright
Copyright © Glasgow Mathematical Journal Trust 1963