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A new definition of variational derivative

Published:1980-10 Issue:2 Volume:22 Page:205-210
ISSN:0004-9727
Container-title:Bulletin of the Australian Mathematical Society
language:en
Short-container-title:Bull. Austral. Math. Soc.

Author:

Hamilton Eugene P.

Abstract

It is shown that the functional fails to possess a variational derivative, contrary to what is claimed by Gelfand and Fomin. A modified definition is given with respect to which the functional does possess a variational derivative.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference2 articles.

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

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2. Local and global bivariational gradients and singular variational derivatives of functionals on Cn[a,b];Nonlinear Analysis: Theory, Methods & Applications;1991-01

3. Variational derivatives and p-gradients of functionals on spaces of continuously differentiable functions;Mathematical Methods in the Applied Sciences;1983

4. Global and local variational derivatives and integral representations of Gâteaux differentials;Journal of Functional Analysis;1982-10

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