Abstract
In the aforegoing sections, Part I of this book, we consider the simplest problem of the calculus of variations, so called because it is indeed the simplest of a class of functional extremization problems. We restrict the discussion to functionals of integral type whose integrands depend on a scalar-valued variable x(t) and its derivative αΊ‹(t). Furthermore, we consider fixed end points; that is, we prescribe the initial and terminal values of t and x(t). A number of generalizations are of interest and are introduced below; while not treated in Part I, many are in fact subsumed in the class of problems discussed in Part II.
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Β© 1981 Springer Science+Business Media New York
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Leitmann, G. (1981). Concluding Remarks. In: The Calculus of Variations and Optimal Control. Mathematical Concepts and Methods in Science and Engineering, vol 24. Springer, Boston, MA. https://doi.org/10.1007/978-1-4899-0333-4_8
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DOI: https://doi.org/10.1007/978-1-4899-0333-4_8
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4899-0335-8
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