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Titlebook: Constrained Extrema Introduction to the Differentiable Case with Economic Applications; Mohamed A. El-Hodiri Book 1971 Springer-Verlag Ber

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书目名称Constrained Extrema Introduction to the Differentiable Case with Economic Applications
编辑Mohamed A. El-Hodiri
视频videohttp://file.papertrans.cn/236/235914/235914.mp4
丛书名称Lecture Notes in Economics and Mathematical Systems
图书封面Titlebook: Constrained Extrema Introduction to the Differentiable Case with Economic Applications;  Mohamed A. El-Hodiri Book 1971 Springer-Verlag Ber
描述These notes are the result of an interrupted sequence of seminars on optimiza­ tion theory with economic applications starting in 1964-1965. This is mentioned by way of explaining the uneven style that pervades them. Lately I have been using the notes for a two semester course on the subject for graduate students in economics. Except for the introductory survey, the notes are intended to provide an appetizer to more sophisticated aspects of optimization theory and economic theory. The notes are divided into three parts. Part I collects most of the results on constrained extremf! of differentiable functionals on finite and not so finite dimensional spaces. It is to be used as a reference and as a place to find credits to various authors whose ideas we report. Part II is concerned with finite dimensional problems and is written in detail. Needless to say, my contributions are marginal. The economic examples are well known and are presented by way of illustrating the theory. Part III is devoted to variational problems leading to a discussion of some optimal control problems. There is a vast amount of literature on these problems and I tried to limit my intrusions to explaining some of
出版日期Book 1971
关键词economic theory; economics; inequality; optimal control; optimization; optimization theory; rating; value-a
版次1
doihttps://doi.org/10.1007/978-3-642-80657-5
isbn_softcover978-3-540-05637-9
isbn_ebook978-3-642-80657-5Series ISSN 0075-8442 Series E-ISSN 2196-9957
issn_series 0075-8442
copyrightSpringer-Verlag Berlin · Heidelberg 1971
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https://doi.org/10.1007/978-3-0348-6163-2Let h(x) be defined on E. with values in E., i.e., h(x) is a column vector with ℓ components. Denote the components of h by h., β = 1, ..., ℓ.
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,Nachwort: Zurück in die Zukunft,In this chapter we extend the results of Chapter 3 to deal with the case of vector maxima. We then relate the results of Chapter 3 to saddle value problems. As we have pointed out, no new results are presented. But we have a unified and, hopefully, more direct treatment of the problems.
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Ungarische Lokomotiven und TriebwagenIn this chapter, we study the problem of Bolza with added inequality constraints. We shall use the theorems of chapter 5 to prove our characterization of the present problem, Problem A″. Maximize J[y] subject to:
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Extensions and ApplicationsIn this chapter we extend the results of Chapter 3 to deal with the case of vector maxima. We then relate the results of Chapter 3 to saddle value problems. As we have pointed out, no new results are presented. But we have a unified and, hopefully, more direct treatment of the problems.
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The Problem of Bolza With Equality-Inequality ConstraintsIn this chapter, we study the problem of Bolza with added inequality constraints. We shall use the theorems of chapter 5 to prove our characterization of the present problem, Problem A″. Maximize J[y] subject to:
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