Category:Fredholm Integral Equations

This category contains results about Fredholm Integral Equations.
Definitions specific to this category can be found in Definitions/Fredholm Integral Equations.

The Fredholm integral equations are integral equations of the first and second kind such that the limits of integration are constant:

Fredholm Integral Equation of the First Kind

A Fredholm integral equation of the first kind is an integral equation of the form:

$\ds \map f x = \lambda \int_a^b \map K {x, y} \map g y \rd y$

where $g$ is an unknown real function.

Fredholm Integral Equation of the Second Kind

A Fredholm integral equation of the second kind is an integral equation of the form:

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