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Differential equations, Parabolic --- Differential equations, Elliptic --- Calculus of variations --- Congresses.

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517.97 --- #WSCH:AAS2 --- Calculus of variations. Mathematical theory of control --- 517.97 Calculus of variations. Mathematical theory of control --- Calcul des variations --- Calculus of variations --- Analyse fonctionnelle non linéaire --- Nonlinear functional analysis --- Analyse fonctionnelle non linéaire. --- Calculus of variations. --- Nonlinear functional analysis. --- Equations aux derivees partielles --- Geometrie differentielle classique --- Methodes variationnelles --- Surfaces minima

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Ordinary differential equations --- Calculus of variations --- Inverse problems (Differential equations) --- Perturbation (Mathematics) --- Calcul des variations --- Perturbation (mathématiques) --- Problèmes inverses (équations différentielles) --- Perturbation equations --- Perturbation theory --- Approximation theory --- Dynamics --- Functional analysis --- Mathematical physics --- Differential equations --- Isoperimetrical problems --- Variations, Calculus of --- Maxima and minima --- Calculus of variations. --- Calcul des variations.

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Functional analysis --- Analyse fonctionnelle --- Functionaalanalyse --- Operateurs [Theorie des ] --- Operator theory --- Operatorentheorie --- Congresses. --- 51 --- -Operator theory --- -Functional analysis --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations --- Mathematics --- Congresses --- -Mathematics --- 51 Mathematics --- -51 Mathematics --- Functional analysis - Congresses --- Operator theory - Congresses

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This work is a self-contained elementary exposition of the theory of recursive functionals, that also includes a number of advanced results. Although aiming basically at a theory of higher order computability, attention is restricted to second order functionals, where the arguments are numerical functions and the values, when defined, are natural numbers. This theory is somewhat special, for to some extent it can be reduced to first order theory, but when properly extended and relativized it requires the full machinery of higher order computations. In the theory of recursive monotonic function

Fonctions recursive --- Recursieve functies --- Recursive functions --- Fonctions récursives. --- Recursive functions. --- Fonctions récursives --- Functions, Recursive --- Algorithms --- Arithmetic --- Logic, Symbolic and mathematical --- Number theory --- Recursion theory --- Decidability (Mathematical logic) --- Foundations --- Functional analysis. --- Functional calculus --- Calculus of variations --- Functional equations --- Integral equations