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MSC 2000:

*49J27 Optimal control problems in abstract spaces (existence)
49-02 Research monographs (calculus of variations)
49M37 Methods of nonlinear programming type
90C30 Nonlinear programming
49J50 Frechet and Gateaux differentiability
47J05 Equations involving nonlinear operators (general)
93C15 Control systems governed by ODE
34H05 ODE in connection with control problems
35K55 Nonlinear parabolic equations
46B99 Normed linear spaces and Banach spaces
47H10 Fixed point theorems for nonlinear operators on topol.linear spaces
49J15 Optimal control problems with ODE (existence)
49K15 Optimal control problems with ODE (nec./ suff.)
58B20 Geometric structures on infinite-dimensional manifolds
58C20 Generalized differentiation theory on manifolds

Keywords: Frechet derivative; variational problem; fixed point theorem; nonlinear semigroup; Pontryagin maximum principle; mean-value theorem; Asplund space; Hopf-Rinow theorem

Citations: Zbl 0286.49015; Zbl 0305.47029; Zbl 0339.47030; Zbl 0313.46017

Cited in: Zbl 1235.49036 Zbl 1229.54057 Zbl 1084.49500 Zbl 1054.49001 Zbl 0880.47030 Zbl 0766.58002 Zbl 0760.47029 Zbl 0726.49009 Zbl 0735.92017 Zbl 0721.49025 Zbl 0712.54022 Zbl 0642.49020 Zbl 0619.06002 Zbl 0565.93065 Zbl 0528.47035 Zbl 0516.49011 Zbl 0536.62088 Zbl 0489.26006 Zbl 0484.54024 Zbl 0478.49012 Zbl 0493.46006

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