Show that if there does not exist a real-valued functionsuch that for all in the closed

Chapter 14, Problem 94

(choose chapter or problem)

Show that if \(\lambda>\frac{1}{2}\) there does not exist a real-valued function u such that for all x in the closed interval \(0 \leq x \leq 1\), \(u(x)=1+\lambda \int_{x}^{1} u(y) u(y-x) d y\).

Text Transcription:

lambda > 1 / 2

0 leq x leq 1

u(x)=1+lambda int_{x}^{1} u(y) u(y-x) dy

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