✦ LIBER ✦

Locally adjoint mappings and optimization of the first boundary value problem for hyperbolic type discrete and differential inclusions

✍ Scribed by E.N. Mahmudov

Publisher: Elsevier Science
Year: 2007
Tongue: English
Weight: 334 KB
Volume: 67
Category: Article
ISSN: 0362-546X
DOI: 10.1016/j.na.2006.09.054

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✦ Synopsis

The present paper deals with discrete approximation on a uniform grid of the first boundary value problem (P C ) for differential inclusions of hyperbolic type. In the form of Euler-Lagrange inclusions, necessary and sufficient conditions for optimality are derived for the discrete (P D ) and continuous (P C ) problems 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.

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