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Connectedness and Necessary Conditions for an Extremum

Author: A P Abramov
Publisher: Dordrecht : Springer Netherlands, 1998.
Series: Mathematics and Its Applications, 431.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Summary:
This monograph is the first book in the study of necessary conditions of an extremum in which topological connectedness plays a major role. Many new and original results are presented here. The synthesis of the well-known Dybrovitskii-Milyutin approach, based on functional analysis, and topological methods permits the derivation of the so-called alternative conditions of an extremum: if the Euler equation has the  Read more...
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Genre/Form: Electronic books
Additional Physical Format: Print version:
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: A P Abramov
ISBN: 9789401591195 9401591199
OCLC Number: 851383943
Description: 1 online resource (212 pages).
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.
Series Title: Mathematics and Its Applications, 431.
Responsibility: by Alexander P. Abramov.

Abstract:

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. Its application permits us to obtain  Read more...

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