I'm trying to solve an important functional differential equation. But the problem is, it involves functional (variational) derivative, instead of partial ones. Can anyone suggest me a book where it is discussed? Any kind of material related to it may help.
Ashiqul Islam Dip
I hope the following attached textbook is useful.
You can find more textbooks online.
Best regards
Have a look at http://quantum.phys.unm.edu/523-14/ch15.pdf
https://encyclopediaofmath.org/wiki/Functional-differential_equation
Dear Ashiqul Islam Dip,
You may consult books regarding the Calculus of Variations. I took a course on the subject long before. As far as I remember, there are lots of functional equations including derivatives with respect to "functions" or "derivatives of functions" covered in this topic such as the Euler-Lagrange equation. You can find a book here: http://users.uoa.gr/~pjioannou/mech2/READING/Gelfand_Fomin_Calculus_of_Variations.pdf
I hope this is helpful.
Best wishes,
Tahir
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