Fredholm Integral Equation - Equation of The Second Kind

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:

    Jail sentences have many functions, but one is surely to send a message about what our society abhors and what it values. This week, the equation was twofold: female infidelity twice as bad as male abuse, the life of a woman half as valuable as that of a man. The killing of the woman taken in adultery has a long history and survives today in many cultures. One of those is our own.
    Anna Quindlen (b. 1952)

    There are two kinds of men, and only two, and that young man is one kind. He is high-minded, he is pure, he’s the kind of man that the world pretends to look up to, and in fact despises. He is
    the kind of man who breeds unhappiness, particularly in women.
    Robert Bolt (1924–1995)