Please use this identifier to cite or link to this item: http://148.72.244.84/xmlui/handle/xmlui/15786
Title: Constraints Optimal Control Problem for Quaternary Nonlinear Elliptic System
Authors: H. Diwan, Haider
A. Ali Al-Hawasy, Jamil
F. Keidan, Waffa
Keywords: Constraint Continuous Classical Optimal Control Vector, Quaternary Nonlinear Elliptic Boundary Value Problem, Fréchetderivative, Necessary and Sufficient Conditions for Optimality.
Issue Date: 31-Jul-2024
Publisher: University of Diyala
Abstract: This paper is concerned with the study of the constraints quaternary continuous classical optimal control vector problem (CQCCOCVP) with equality and inequality constraint controlled by quaternary nonlinear elliptic partial differential equations (QNLEPDEqs).The existence theorem of a CQCCOCV of the constrained problem is stated and proved under suitable hypotheses. The mathematical formulation of the adjoint quaternary equations (AQEqs) associated with the QNLEPDEqs is derived, the Fréchet derivative for the objective function and the EINC are derived. Finally, the necessary condition theorem and the sufficient condition theorem for the optimality are stated and proved.
URI: http://148.72.244.84/xmlui/handle/xmlui/15786
ISSN: 2958-4612
Appears in Collections:مجلة ديالى للعلوم الاكاديمية / Academic Science Journal (Acad. Sci. J.)

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