The optimal control of an evolutionary boundary value problem

	The optimal control of an evolutionary boundary value problem
International Journal of Nonlinear Analysis and Applications
مقاله 22، دوره 14، شماره 1، فروردین 2023، صفحه 263-274 اصل مقاله (431.6 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.24883.2843
نویسندگان
Aissa Benseghir؛ Hamid Benseridi^* ؛ Mourad Dilmi
Applied Mathematical Laboratory (LaMa), Faculty of Sciences, University of Setif 1- SETIF, 19000, Algeria
چکیده
We consider a nonlinear initial boundary value problem in a two-dimensional rectangle. We derive variational formulation of the problem which is in the form of an evolutionary variational inequality in a product Hilbert space. Then, we establish the existence of a unique weak solution to the problem and prove the continuous dependence of the solution with respect to some parematers. We proceed with the study of an associated control problem for which we prove the existence of an optimal pair. Finally, we consider a perturbed optimal control problem for which we prove a convergence result.
کلیدواژه‌ها
nonlinear boundary value problem؛ evolutionary inequality؛ weak solution؛ convergence results؛ optimal control
آمار تعداد مشاهده مقاله: 17,659 تعداد دریافت فایل اصل مقاله: 12,541

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