Is there any way to solve an integral equation of this type,
$s(1-b)f(s)=\int^s_{sb}f(x)f(x-sb)dx$
Any help would be highly appreciated.
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You can solve this type of nonlinear equation by the Kantrivich method, it is a numerical method, so you start by linearizing the equation and approximate the linear equation obtained by the Nythrom method.
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One solution is the constant $f(x)=1$ – QuantumPotatoïd May 01 '21 at 16:53