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An initial value method for dual integral equations
Authors:Robert Kalaba
Affiliation:Biomedical Engineering Program, University of Southern California Los Angeles, California 90007, U.S.A.; Department of Civil Engineering, California State College at Long Beach, Long Beach, California 90801, U.S.A.
Abstract:An initial value method is derived for a set of dual integral equations encountered in solving mixed boundary value problems in mathematical physics with a circular line of separation of boundary conditions. It is shown that the solution itself, not just a transform of the solution, of the dual integral equations satisfies a Fredholm integral equation. The initial value problem is derived from this Fredholm equation.
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