Contributions to the Calculus of Variations: Theses Submitted to the Department of Mathematics of the University of Chicago and a Bibliography, Volume 1University of Chicago Press, 1931 - Calculus of variations |
Contents
Aline Huke An Historical and Critical | 45 |
Frank Lynwood Wren A New Theory | 161 |
Definition of a field 871 25 | 189 |
Copyright | |
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Common terms and phrases
admissible arcs admissible variations analogue Annalen arbitrary arc E12 arguments assumed Bliss Bois Reymond's lemma Bolza bounded C₁₂ calculus of variations Chapter constant continuous function D₂ defined determinant different from zero differential equations double integrals dx dy E-function E₁₂ envelope theorem Euler existence theorems extremal arc family of extremals finite number functions x(t fundamental lemma fundamental sufficiency theorem geodesic Hahn Hamilton-Jacobi Hamilton-Jacobi theory hence Hilbert holds inequality integrand isoperimetric problem Jacobi condition Kneser Lagrange problem Legendre lim F(C lower semi-continuous Math Mayer field minimizing arc necessary condition neighborhood obtain one-parameter family orthogonal solution parametric problem partial derivatives positive quasi-regular proved rectifiable curve satisfies the conditions second variation slope-functions strong relative minimum sufficient conditions surface t₁ t₂ theory tions Tonelli transversality vanish variable end points Variationsrechnung weak relative minimum Weierstrass X₂ Y₁ Y₂ Zermelo