Sufficient conditions for optimality for differential inclusions of parabolic type and duality

Authors:
E. N. Mahmudov
Affiliations:
Engineering Faculty, Department of Industrial Engineering, Istanbul University, Avcilar, Istanbul, Turkey 34850
Venue:
Journal of Global Optimization
Year:
2008

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Abstract

Sufficient conditions for optimality are derived for partial differential inclusions of parabolic type on the basis of the apparatus of locally conjugate mapping, and duality theorems are proved. The duality theorems proved allow one to conclude that a sufficient condition for an extremum is an extremal relation for the direct and dual problems.