Linear integral equation
From Encyclopedia of Mathematics - Reading time: 1 min
An integral equation in which the unknown function $\phi(s)$ occurs in a linear fashion:
$$A(x)\phi(x)+\int\limits_DK(x,s)\phi(s)ds=f(x),\quad x\in D.$$
Here $A$, $K$, $f$ are given functions, $D$ is a domain of the Euclidean space, $k$ and $s$ are points of the space, and $ds$ is the volume element. For more details see Integral equation.
How to Cite This Entry: Linear integral equation (Encyclopedia of Mathematics) | Licensed under CC BY-SA 3.0. Source: https://encyclopediaofmath.org/wiki/Linear_integral_equation2 views | ↧ Download this article as ZWI file
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