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An Initial-Value Theory for Fredholm Integral Equations With Semidegenerate Kernels

An Initial-Value Theory for Fredholm Integral Equations With Semidegenerate Kernels

The Fredholm integral equation where the kernel is semidegenerate has many applications. The solution of this integral equation may be studied as a function of the upper limit of integration x , while t remains fixed. It is shown that the solution satisfies an initial-value problem. This reformulation is well …