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Advances in Difference Equations

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  • Research Article
  • Open Access

Optimization Of discrete and differential inclusions of Goursat-Darboux type with state constraints

Advances in Difference Equations20062006:041962

https://doi.org/10.1155/ADE/2006/41962

©  Elimhan N. Mahmudov. 2006

Received: 14 October 2005

Accepted: 20 September 2006

Published: 20 November 2006

Abstract

Necessary and sufficient conditions of optimality under the most general assumptions are deduced for the considered and for discrete approximation problems. Formulation of sufficient conditions for differential inclusions is based on proved theorems of equivalence of locally conjugate mappings.

Keywords

  • Differential Equation
  • Partial Differential Equation
  • Ordinary Differential Equation
  • Functional Analysis
  • Functional Equation

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Authors’ Affiliations

(1)
Department of Industrial Engineering, Engineering Faculty, Istanbul University, Avcilar, Turkey

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Copyright

© Elimhan N. Mahmudov. 2006

This article is published under license to BioMed Central Ltd. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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