A Cauchy System for a Class of Nonlinear Fredholm Integral Equations.

by J. L. Casti, Robert E. Kalaba, S. Ueno

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Derivation of a Cauchy system whose numerical solution is equivalent to that of a nonlinear integral equation. This memorandum treats a nonlinear integral equation of Hammerstein type which arises in problems of mathematical physics and biology. A Cauchy problem is derived for the solution of the equation and a proof is given to show that the solution of the Cauchy problem does satisfy the original equation. 22 pp. Ref. (KB)

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