scientific article

zbMath0582.46001MaRDI QIDQ3705978

Andre Avez

Publication date: 1986

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

mean value theoremfirst integralsNoether's theoremGronwall inequalityTaylor theoremproduct integralglobal inversion theoremcoordinate systemslinear ordinary differential equations with periodic coefficientsstraightening out theoremMorse-Palais lemmacalculus of variations as a constrained extremal problem in the Banach space of pathsclassification of \(C^ k\)-maps by conjugationcompleteness of a flowderivative as a linear continuous mapdifferentiable dependence of the solutions on the initial conditionsdifferentiable submanifoldsone parameter groups of linear operators (diffeomorphisms resp.)symmetry groups of the Lagrangianthe implicit and the inverse function theorem

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Existence theories for problems in abstract spaces (49J27) Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Implicit function theorems, Jacobians, transformations with several variables (26B10) Spaces of linear operators; topological tensor products; approximation properties (46A32) Linear differential equations in abstract spaces (34G10) Derivatives of functions in infinite-dimensional spaces (46G05) Introductory exposition (textbooks, tutorial papers, etc.) pertaining to functional analysis (46-01) Implicit function theorems; global Newton methods on manifolds (58C15)

Related Items (8)

A spectral approach for quenched limit theorems for random expanding dynamical systems ⋮ A geometric approach to the classification of the equilibrium shapes of self-gravitating fluids ⋮ An abstract two-period game with simultaneous signaling -- existence of separating equilibria ⋮ The classical theory of calculus of variations for generalized functions ⋮ A criterion for non-existence of invariant tori for Hamiltonian systems ⋮ Improved N-th order averaging theory for periodic systems ⋮ Noether-type theorem for fractional variational problems depending on fractional derivatives of functions ⋮ Transnormal graphs of polynomial curves

This page was built for publication: