Global and local variational derivatives and integral representations of Gateaux differentials

DOI10.1016/0022-1236(82)90088-XzbMath0498.46030OpenAlexW2062674894MaRDI QIDQ1171251

M. Zuhair Nashed, Eugene P. Hamilton

Publication date: 1982

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(82)90088-x

zbMATH Keywords

integral representationRadon-Nikodym derivativeabsolutely continuousregular Borel measurecontinuous linear Gateaux variationlinkage between the global and local approaches to the variational derivativeslocal Volterra variational derivativespace of continuous functions with supremum norm

Mathematics Subject Classification ID

Derivatives of functions in infinite-dimensional spaces (46G05) Hamilton-Jacobi theories (49L99)

Related Items (5)

Local and global bivariational gradients and singular variational derivatives of functionals on Cn[a,b] ⋮ Variational derivatives and p-gradients of functionals on spaces of continuously differentiable functions ⋮ On the continuity of the Volterra variational derivative ⋮ Formalization of Euler-Lagrange equation set based on variational calculus in HOL light ⋮ A Volterra Type Derivative of the Lebesgue Integral

Cites Work

• Frechet-Volterra variational equations, boundary value problems, and function space integrals
• A new definition of variational derivative
• The theory of differentiation in linear topological spaces
• Some Remarks on Variations and Differentials
• The First Variation of an Indefinite Wiener Integral
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