In mathematics, an **integral equation** is an equation in which an unknown function appears under an integral sign. There is a close connection between differential and integral equations, and some problems may be formulated either way. See, for example, Maxwell's equations.

Read more about Integral Equation: Overview, Numerical Solution, Classification, Integral Equations As A Generalization of Eigenvalue Equations

### Other articles related to "integral equation, equation, integral equations, equations, integral":

... The

**integral equation**may be regarded as an exact solution of the governing partial differential

**equation**... method attempts to use the given boundary conditions to fit boundary values into the

**integral equation**, rather than values throughout the space defined ... Once this is done, in the post-processing stage, the

**integral equation**can then be used again to calculate numerically the solution directly at any desired point in the interior of the solution domain ...

**Integral Equation**s As A Generalization of Eigenvalue Equations

... Certain homogeneous linear

**integral equations**can be viewed as the continuum limit of eigenvalue

**equations**... Using index notation, an eigenvalue

**equation**can be written as , where is a matrix, is one of its eigenvectors, and is the associated eigenvalue ... and with continuous variables and, gives , where the sum over has been replaced by an

**integral**over and the matrix and vector have been replaced by the 'kernel ...

... on numerical methods for solving stochastic differential

**equations**... A typical

**equation**is of the form where denotes a Wiener process (Standard Brownian motion) ... This

**equation**should be interpreted as an informal way of expressing the corresponding

**integral equation**The

**equation**above characterizes the behavior of the continuous time ...

**Integral Equation**

... The Weierstrass elliptic function can be given as the inverse of an elliptic

**integral**... Then one has The above follows directly by integrating the differential

**equation**...

### Famous quotes containing the words equation and/or integral:

“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)

“An island always pleases my imagination, even the smallest, as a small continent and *integral* portion of the globe. I have a fancy for building my hut on one. Even a bare, grassy isle, which I can see entirely over at a glance, has some undefined and mysterious charm for me.”

—Henry David Thoreau (1817–1862)