In this chapter we will study strategies for solving the inhomogeneous linear differential equation Ly = f. The tool we use is the Green function, which is an ...

Generally speaking, a Green's function is an integral kernel that can be used to solve differential equations from a large number of families including simpler ...

A Green's function is a solution to an inhomogenous differential equation with a delta function “driving term”. It provides a convenient method for solving ...

The methods for finding Green's functions lean heavily on transform methods because they are particularly well suited for handling the Dirac delta function. For ...

Green's functions used for solving Ordinary and Partial Differential Equations in different dimensions and for time-dependent and time-independent problem.

If such a representation exists, the kernel of this integral operator G(x,x0) is called the Green's function. It is useful to give a physical interpretation ...

In this chapter we will derive the initial value Green's function for ordinary differential equations. Later in the chapter we will return to boundary value ...

We define this function G as the Green's function for Ω. That is, the Green's function for a domain Ω ⊂ Rn is the function defined as. G(x, y) = Φ(y − x) ...

The essay introduced several important concepts, among them a theorem similar to the modern Green's theorem, the idea of potential functions as currently used ...

The method for construction of the Green's function in this initial value problem is similar to the previous method in the case of a boundary value problem ...