APM  Vol.2 No.2 , March 2012
Sufficient Conditions of Optimality for Convex Differential Inclusions of Elliptic Type and Duality
ABSTRACT
This paper deals with the Dirichlet problem for convex differential (PC) inclusions of elliptic type. On the basis of conjugacy correspondence the dual problems are constructed. Using the new concepts of locally adjoint mappings in the form of Euler-Lagrange type inclusion is established extremal relations for primary and dual problems. Then duality problems are formulated for convex problems and duality theorems are proved. The results obtained are generalized to the multidimensional case with a second order elliptic operator.

Cite this paper
E. Mahmudov, "Sufficient Conditions of Optimality for Convex Differential Inclusions of Elliptic Type and Duality," Advances in Pure Mathematics, Vol. 2 No. 2, 2012, pp. 114-118. doi: 10.4236/apm.2012.22016.
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