Category:Definitions/Integral Equations of the Third Kind

This category contains definitions related to Integral Equations of the Third Kind.
Related results can be found in Category:Integral Equations of the Third Kind.

An integral equation of the third kind is an integral equation of the form:

$\map u x \map g x = \map f x + \lambda \ds \int_{\map a x}^{\map b x} \map K {x, y} \map g y \rd x$

where:

$\map u x$, $\map f x$ and $\map K {x, y}$ are known functions

$\map a x$ and $\map b x$ are known functions of $x$, or constant

$\map g x$ is an unknown function.