Abstract
In calculus one studies the problem of minimizing f(x), where x is real or more generally x=(x1…,xn) denotes an n-tuple of real numbers. However, in many problems of interest the domain of the function to be miminized is not a portion of some finite-dimensional space V. Rather, the function is defined on some portion of an infinite-dimensional space if. We shall begin by outlining the elementary theory of minima of a function J on an abstract space V (§2).
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© 1975 Springer-Verlag New York Inc.
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Fleming, W., Rishel, R. (1975). The Simplest Problem in Calculus of Variations. In: Deterministic and Stochastic Optimal Control. Applications of Mathematics, vol 1. Springer, New York, NY. https://doi.org/10.1007/978-1-4612-6380-7_1
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DOI: https://doi.org/10.1007/978-1-4612-6380-7_1
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4612-6382-1
Online ISBN: 978-1-4612-6380-7
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