Skip to main content
SpringerLink
Log in
Book cover

Constrained Extrema Introduction to the Differentiable Case with Economic Applications

  • Book
  • © 1971

Overview

Authors:
  1. Mohamed A. El-Hodiri

    1. Department of Economics, University of Kansas, Lawrence, USA

    View author publications

    You can also search for this author in PubMed   Google Scholar

Part of the book series: Lecture Notes in Economics and Mathematical Systems (LNE, volume 56)

This is a preview of subscription content, log in via an institution to check access.

Access this book

Log in via an institution
eBook USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access

Licence this eBook for your library

Institutional subscriptions

Table of contents (8 chapters)

  1. Front Matter

    Pages i-iii
    Download chapter PDF

  2. Preface

    1. Preface

      • Mohamed El-Hodiri
      Pages 1-3

  3. Introductory Survey

    1. Front Matter

      Pages 4-4
      Download chapter PDF

    2. A Survey of Derivative Characterization of Constrained Extrema

      • Mohamed A. El-Hodiri
      Pages 5-23

  4. Finite Dimensional Problems

    1. Front Matter

      Pages 24-24
      Download chapter PDF

    2. Equality Constraints

      • Mohamed A. El-Hodiri
      Pages 25-33

    3. Inequalities as Added Constraints

      • Mohamed A. El-Hodiri
      Pages 34-38

    4. Extensions and Applications

      • Mohamed A. El-Hodiri
      Pages 39-59

  5. Variational Problems

    1. Front Matter

      Pages 60-60
      Download chapter PDF

    2. The Problem of Bolza with Equality Constraints

      • Mohamed A. El-Hodiri
      Pages 61-77

    3. The Problem of Bolza With Equality-Inequality Constraints

      • Mohamed A. El-Hodiri
      Pages 78-83

    4. Extensions and Applications

      • Mohamed A. El-Hodiri
      Pages 84-127

  6. Back Matter

    Pages 128-132
    Download chapter PDF
Back to top

Keywords

About this book

These notes are the result of an interrupted sequence of seminars on optimizaยญ 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 the obvious steps that are usually left out. I have borrowed heavily from Akhiezer [ 1], Berkovitz [ 7], Bliss [lOJ and Pars [40J. The economic applications represent some of my work and are presented in the spirit of illustration.

Authors and Affiliations

  • Department of Economics, University of Kansas, Lawrence, USA

    Mohamed A. El-Hodiri

Bibliographic Information

  • Book Title: Constrained Extrema Introduction to the Differentiable Case with Economic Applications

  • Authors: Mohamed A. El-Hodiri

  • Series Title: Lecture Notes in Economics and Mathematical Systems

  • DOI: https://doi.org/10.1007/978-3-642-80657-5

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin ยท Heidelberg 1971

  • Softcover ISBN: 978-3-540-05637-9Published: 01 January 1971

  • eBook ISBN: 978-3-642-80657-5Published: 06 December 2012

  • Series ISSN: 0075-8442

  • Series E-ISSN: 2196-9957

  • Edition Number: 1

  • Number of Pages: IV, 132

  • Topics: Economic Theory/Quantitative Economics/Mathematical Methods

Publish with us

Policies and ethics

Back to top

Search

Navigation