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Nonconvex minimization problems. (English) Zbl 0441.49011

MSC:
49J27Optimal control problems in abstract spaces (existence)
49-02Research monographs (calculus of variations)
49M37Methods of nonlinear programming type in calculus of variations
90C30Nonlinear programming
49J50Fréchet and Gateaux differentiability
47J05Equations involving nonlinear operators (general)
93C15Control systems governed by ODE
34H05ODE in connection with control problems
35K55Nonlinear parabolic equations
46B99Normed linear spaces and Banach spaces
47H10Fixed point theorems for nonlinear operators on topological linear spaces
49J15Optimal control problems with ODE (existence)
49K15Optimal control problems with ODE (optimality conditions)
58B20Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds
58C20Differentiation theory (Gateaux, Fréchet, etc.) on manifolds