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<p>Consideration has been given to the problem of optimal control with a control factor gradient in the coefficients of the steady-state second-order heat conduction equation. The necessary optimality condition for solving this problem is found. The application of the obtained results to the problem of controlling the domain boundary is indicated. An example of instability of the considered problem is provided and an iterative algorithm of regularizing its solution is described.</p>

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Optimality of Solving a Problem with a Control Gradient in the Coefficients of the Heat Conduction Equation

  • 期刊论文

  • 发表日期：

    2025年9月1日

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  • R. A. Hamidov,
  • M. A. Musayeva

摘要

Consideration has been given to the problem of optimal control with a control factor gradient in the coefficients of the steady-state second-order heat conduction equation. The necessary optimality condition for solving this problem is found. The application of the obtained results to the problem of controlling the domain boundary is indicated. An example of instability of the considered problem is provided and an iterative algorithm of regularizing its solution is described.