Physics Today · 1963 · 78 citations · 0 references
Natural SciencesMathematicsDifferential EquationsGeometryMathematical PhysicsBoundary ConditionsBoundary-value ProblemsCalculus Of VariationsDifferential GeometryLagrangian MechanicsPartial Differential EquationsDirect Methods In The Calculus Of VariationsDirichlet ProblemsExistence Of MinimizersGeodesic EquationsLagrangian FormulationLinear FunctionalsSturm-liouville TheoryVariational Problems
The simplest problem lagrangian derivatives canonical variables field theory Jacobi's condition the simplest problem in parametric form problems on a conditional extremum the direct method for nonparametric problems the Sturm-Liouville problem the direct method for a problem in parametric form two-demensional problems the generalized dirichlet problem for a linear equation of elliptic type S.N.Bernshtein's principle geodesic lines on a triaxial ellipsoid Poincare's theorem on periodic extremals E.Noether's theorem on invariant functionals.