Necessary and sufficient conditions for discrete and differential inclusions of elliptic type
By Elimhan N. Mahmudov. 2006
61 citations recorded by the source corpus.
Abstract This paper deals for the first time with the Dirichlet problem for discrete ( P D ) , discrete approximation problem on a uniform grid and differential ( P C ) inclusions of elliptic type. In the form of Euler–Lagrange inclusion necessary and sufficient conditions for optimality are derived for the problems under consideration on the basis of new concepts of locally adjoint mappings. The results obtained are generalized to the multidimensional case with a second order elliptic operator.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/ef4d0ec8cb1081a847d9ca710cb93d3c1731f552
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In Applied Mathematics
In Computational Theory and Mathematics
Citations in the corpus
- Approximation and optimization of higher order discrete and differential inclusions (2014, background): “2 [28], which follows immediately from Theorem 1.”