Connectedness and Necessary Conditions for an Extremum by Alexey Abramov.

The present book is the outcome of efforts to introduce topological connectedness as one of the basic tools for the study of necessary conditions for an extremum. Apparently this monograph is the first book in the theory of maxima and minima where topological connectedness is used so widely for this...

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Bibliographic Details
Main Author: Abramov, Alexey. (Author,
Corporate Author: SpringerLink (Online service)
Format: eBook
Published: Dordrecht : Springer Netherlands : Imprint: Springer, 1998.
Edition:1st ed. 1998.
Series:Mathematics and Its Applications ; 431
Springer eBook Collection.
Online Access:Click to view e-book
Holy Cross Note:Loaded electronically.
Electronic access restricted to members of the Holy Cross Community.
Table of Contents:
  • 0. Preliminaries
  • 1. Alternative conditions for an extremum of the first order
  • 2. Alternative conditions for an extremum in nonlinear programming
  • 3. Alternative conditions for an extremum in optimal control problems
  • 4. Necessary conditions for an extremum in a measure space
  • List of notation.