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

Advances in Difference Equations volume 2006, Article number: 041962 (2006) Cite this article

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.

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Authors and Affiliations

  1. Department of Industrial Engineering, Engineering Faculty, Istanbul University, Avcilar, Istanbul, 34850, Turkey

    Elimhan N Mahmudov

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  1. Elimhan N Mahmudov
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Correspondence to Elimhan N Mahmudov.

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Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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Mahmudov, E.N. Optimization Of discrete and differential inclusions of Goursat-Darboux type with state constraints. Adv Differ Equ 2006, 041962 (2006). https://doi.org/10.1155/ADE/2006/41962

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

Keywords

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