Introductory Typical Examples
Eberhard Zeidler
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Eberhard Zeidler: Sektion Mathematik
Chapter Chapter 37 in Nonlinear Functional Analysis and its Applications, 1985, pp 12-142 from Springer
Abstract:
Abstract In the following we wish to present many concrete examples, foregoing extensive technical details, whose solutions have contributed essentially to the development of a general theory of extremal problems. A glance at the organization of this chapter in the Contents shows the variety of different problems one encounters. In this connection, an especially central position is assumed by Section 37.4, where we discuss a number of fundamental ideas from the classical calculus of variations. The ideas of the calculus of variations have influenced the modern theory of extremal problems in an essential way, and knowledge of these classical ideas is indispensable for a thorough understanding of the modern development.
Keywords: Morse Index; Morse Theory; Catastrophe Theory; Side Condition; Chebyshev Approximation (search for similar items in EconPapers)
Date: 1985
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4612-5020-3_2
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DOI: 10.1007/978-1-4612-5020-3_2
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