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 acacias, a graceful species amusingly devitalized by sentimentality, this kind drooping its leaves with the grace of a young widow bowed in controllable grief, this one obscuring them with a smooth silver as of placid tears. They please, like the minor French novelists of the eighteenth century, by suggesting a universe in which nothing cuts deep.”
—Rebecca West (1892–1983)