Fredholm equation
A Fredholm equation of the first kind is an integral equation of the form
∫baK(x,y)f(y)𝑑y=g(x),∀x∈[a,b], |
and a Fredholm equation of the second kind is an integral equation of the form
f(x)-λ∫baK(x,y)f(y)𝑑y=g(x),∀x∈[a,b], |
where
Kf(x)=∫baK(x,y)f(y)𝑑y,∀x∈[a,b] |
is a compact operator in some function space
.
Title | Fredholm equation |
---|---|
Canonical name | FredholmEquation |
Date of creation | 2013-03-22 15:49:59 |
Last modified on | 2013-03-22 15:49:59 |
Owner | ncrom (8997) |
Last modified by | ncrom (8997) |
Numerical id | 5 |
Author | ncrom (8997) |
Entry type | Definition |
Classification | msc 45B05 |