Optimal control of the elliptic type differential inclusions with dirichlet and neumann boundary conditions
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CitationMahmudov, E. N. ve Değer, Ö. (2009). Optimal control of the elliptic type differential inclusions with dirichlet and neumann boundary conditions. Maltepe Üniversitesi. s. 151.
The talk deal with optimization the Dirichlet and Neumann Problems for differential inclusions where the right-hand side is governed by set-valued mapping. The set-valued mapping depends not only of required function, but also the first partial derivatives of these functions. This generalization is very important and the results obtained can’t be deduced from the results considered before . Formulations of sufficient conditions are based on the discretization idea of continuous problem and equivalence theorems . Thus in the form of Euler-Lagrange inclusion sufficient conditions for optimality are derived for which are used locally adjoint mappings. In general, we establish necessary and sufficient conditions for so-called discrete approximation problem on a uniform grid. These conditions take an intermediate place between discrete and continuous problems.
SourceInternational Conference of Mathematical Sciences
- Makale Koleksiyonu 
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