# Differential equation?

1. Nov 21, 2006

### Karlisbad

Differential equation??

Let be F a functional of f(x) and J(x) and A(x) a function, then can we solve this?:

$$A(x)\frac{\delta F[f]}{\delta f}+J(x)F[f]=0$$

J and A are known functions and F[f] is an unknown functional satisfying the equation above.

2. Nov 21, 2006

### CPL.Luke

does f have to depend on x?

3. Nov 21, 2006

### CPL.Luke

and are you sure you don't mean F(x)? becaue then all you need to do is substitute in a series solution.

4. Nov 21, 2006

### Karlisbad

F is a functional (a function of function :tongue2: ) you introduce any function f(x) inside F and you get a number.. if F were a function i would know how to solve it....

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