Bromley, Berlin–Heidelberg–New York: Springer-Verlag, pp. Greiner, Walter Reinhardt, Joachim (1996), "Section 2.3 – Functional derivatives", Field quantization, With a foreword by D.The Lagrangian Formalism, Grundlehren der Mathematischen Wissenschaften, vol. 310 (1st ed.), Berlin: Springer-Verlag, ISBN 5-X, MR 1368401, Zbl 0853.49001. Giaquinta, Mariano Hildebrandt, Stefan (1996), Calculus of Variations 1.(2000), Calculus of variations, translated and edited by Richard A. (January 2008), Introduction to Functional Derivatives (PDF), UWEE Tech Report, vol. UWEETR-2008-0001, Seattle, WA: Department of Electrical Engineering at the University of Washington, p. 7, archived from the original (PDF) on, retrieved.
New York, New York: Interscience Publishers, Inc. Courant, Richard Hilbert, David (1953).^ a b ( Giaquinta & Hildebrandt 1996, p. 18).However, it is F (x) that is defined to be the functional derivative, and not the RHS (as I. Calculus of variations seeks to find the path, curve, surface, etc., for which a given function has a stationary value (which, in physical problems, is usually a minimum or maximum). notice that the RHS is equivalent to the functional derivative defined above. A branch of mathematics that is a sort of generalization of calculus. Δ J = ∫ a b ( ∂ L ∂ f δ f ( x ) + ∂ L ∂ f ′ d d x δ f ( x ) ) d x = ∫ a b ( ∂ L ∂ f − d d x ∂ L ∂ f ′ ) δ f ( x ) d x + ∂ L ∂ f ′ ( b ) δ f ( b ) − ∂ L ∂ f ′ ( a ) δ f ( a ). The english wikipedia page 2 states, that the functional derivative is defined as.
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