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Fredholm equation and Lipschitz condition

Consider the nonlinear Fredholm equation where is continuous on [a,b] and is continuous and satisfies a Lipschitz condition: on the set . Show that the integral equation has a unique solution on [a,b] if .

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The Fredholm equation and Lipschitz condition are investigated. The solution is detailed and well presented. The response received a rating of "5/5" from the student who originally posted the question.

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