Equation of The Second Kind
An inhomogeneous Fredholm equation of the second kind is given as
Given the kernel K(t,s), and the function, the problem is typically to find the function . A standard approach to solving this is to use the resolvent formalism; written as a series, the solution is known as the Liouville-Neumann series.
Read more about this topic: Fredholm Integral Equation
Famous quotes containing the words equation and/or kind:
“A nation fights well in proportion to the amount of men and materials it has. And the other equation is that the individual soldier in that army is a more effective soldier the poorer his standard of living has been in the past.”
—Norman Mailer (b. 1923)
“Human life itself may be almost pure chaos, but the work of the artist—the only thing he’s good for—is to take these handfuls of confusion and disparate things, things that seem to be irreconcilable, and put them together in a frame to give them some kind of shape and meaning. Even if it’s only his view of a meaning. That’s what he’s for—to give his view of life.”
—Katherine Anne Porter (1890–1980)