Is this the Correct Solution for Functional Differential Equations?

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eljose
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let be the next functional differential equation:

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

then its solution would be:

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

would it be correct?..thanks..
 
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No,no Dextercioiby i meant with delta the functional derivative and D[] the meassure of a functional integral.