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Differentiation Functor and Its Application in the Optimization Control Theory

  • Simon Ya. SerovajskyEmail author
Conference paper
Part of the Trends in Mathematics book series (TM)

Abstract

The differentiation of operators is defined as the functor from the category of Banach spaces with fixed points and germs of operators as morphisms to the category of Banach spaces with linear continuous operators. It is used for obtaining necessary conditions of optimality for abstract optimization control problems. Classical and extended operator derivatives are considered. An optimization control problem for a nonlinear elliptic equation is analyzed as an example.

Keywords

Differentiation optimization functors 

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Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.al-Farabi Kazakh National UniversityAlmatyKazazkhstan

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