Is the solution to δF[φ]=G[φ,∂φ] given by a path integral?

[eljose]

let be the next functional differential equation:

$$\delta{F[\phi]}=G[\phi,\partial{\phi}]$$

then its solution would be:

$$F[\phi]=\int{D[\phi]G[\phi,\partial{\phi}]$$

would it be correct?..thanks..

 

[dextercioby]

What does $\delta$ stand for ? The Gâteaux derivative?

Daniel.

 

[eljose]

No,no Dextercioiby i meant with delta the functional derivative and D[] the meassure of a functional integral.

 

[matt grime]

Damn, why wasn't he psychic? Bet he feels bad now.