Green's function

In mathematics, a Green's function is the impulse response of an inhomogeneous linear differential operator defined on a domain with specified initial conditions or boundary conditions. This means that if L is the linear differential operator, then * the Green's function G is the solution of the equation LG = δ, where δ is Dirac's delta function; * the solution of the initial-value problem Ly = f is the convolution (G * f ), where G is the Green's function.

Green's function

In mathematics, a Green's function is the impulse response of an inhomogeneous linear differential operator defined on a domain with specified initial conditions or boundary conditions. This means that if L is the linear differential operator, then * the Green's function G is the solution of the equation LG = δ, where δ is Dirac's delta function; * the solution of the initial-value problem Ly = f is the convolution (G * f ), where G is the Green's function.