Titlebook: Connectedness and Necessary Conditions for an Extremum; Alexander P. Abramov Book 1998 Springer Science+Business Media B.V. 1998 Euler–Lag

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Alternative Conditions for an Extremum in Optimal Control Problems,This and the following are preparatory sections in which we consider some simple examples of optimal control in mathematical economics, illustrating the alternative conditions for an extremum. Their study helps to find out the meaning of these conditions which we formulate in a general way in §8 for one class of optimal control problems.

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Mathematics and Its Applicationshttp://image.papertrans.cn/c/image/235588.jpg

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Funktionen der doppelten und halben Winkel,ma is no exception. So the most general definition of a local minimum (maximum) of a function can be given if a space, on which the function is defined, is topological. The reader can find the systematic application of the topological methods to nonlinear optimization in .. in the two volume book [J

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Berechnung des rechtwinkligen Dreiecks,ar and topological structures there is also a measure, i.e., some .-algebra Σ of its subsets and a full measure . on Σ are given in . [Hal, KA, KoF]. Here we assume that the topology in . is induced by some metric. Thus in this chapter the space . is a complete metrizable locally convex linear topol

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