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For some parameter-distributed system/unlimited dimensional system, why is it possible to describe the relationship between input signal $u(t)$ and controlled signal $y(t)$ in the form of Fredhoim integral? $$y(x) = \int_{a}^{b}K(x,s)g(y(s),u(s))ds$$ where $K(s)$ is an known function of two variables (kernel of the integral),$g(y,u)$ is an known function function of two variables and $u(s)$is control input function.

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    $\begingroup$ This question does not appear to be about the software application Mathematica or the Wolfram language. You have probably posted on the wrong StackExchange site. $\endgroup$ – Bob Hanlon Dec 3 at 2:08

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