Variational Calculus
DOI10.1007/978-3-031-18307-2zbMath1505.49002OpenAlexW4312431548MaRDI QIDQ5046009
Publication date: 8 November 2022
Published in: Springer Monographs in Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-031-18307-2
Banach spacesEuler-Lagrange equationsHamiltonianordinary differential equationsconfiguration spacesHilbert spacesnormed spacesvector fieldsvector spacessymmetries and conservation lawsdifferentiable mapsspaces of curveslocal inversion theoremspaces of surfacesregular points and critical points of numerical functionstangent vectors and vector fields on configuration spaces
Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Geometry and structure of normed linear spaces (46B20) Classical Banach spaces in the general theory (46B25) Existence theories for problems in abstract spaces (49J27) History of calculus of variations and optimal control (49-03) Research exposition (monographs, survey articles) pertaining to calculus of variations and optimal control (49-02) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to calculus of variations and optimal control (49-01)
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