Geodesic
Optimization of thermal processes in a nonlocal problem with a redefinition function under an integral condition
Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh international winter mathematical school "Modern methods of function theory and related problems", Voronezh, January 27 - February 1, 2023, Part 3, Tome 229 (2023), pp. 120-130

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In this paper, we examine the weak generalized solvability of an inverse optimization problem for the heat equation with a nonlocal boundary condition and a nonlinear target performance. We formulate necessary optimality conditions and reduce the search for a control function to a functional integral equation.
Keywords: heat equation, nonlinear inverse problem, optimal control, nonlinear control, minimization of a functional 
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     author = {T. K. Yuldashev and G. K. Abdurakhmanova},
     title = {Optimization of thermal processes in a nonlocal problem with a redefinition function under an integral condition},
     journal = {Itogi nauki i tehniki. Sovremenna\^a matematika i e\"e prilo\v{z}eni\^a. Temati\v{c}eskie obzory},
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     publisher = {mathdoc},
     volume = {229},
     year = {2023},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/INTO_2023_229_a9/}
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T. K. Yuldashev; G. K. Abdurakhmanova. Optimization of thermal processes in a nonlocal problem with a redefinition function under an integral condition. Itogi nauki i tehniki. Sovremennaâ matematika i eë priloženiâ. Tematičeskie obzory, Proceedings of the Voronezh international winter mathematical school "Modern methods of function theory and related problems", Voronezh, January 27 - February 1, 2023, Part 3, Tome 229 (2023), pp. 120-130. http://geodesic.mathdoc.fr/item/INTO_2023_229_a9/