On the Solvability of the Nonlinear Optimization Problem for Point Boundary Control of the Thermal Process
Kerimbekov A.K. Kadirimbetova A.K. Ermekbaeva A.T.
October 2024Pleiades Publishing
Lobachevskii Journal of Mathematics
2024#45Issue 105069 - 5081 pp.
Abstract: In the article, the solvability of a nonlinear optimization problem for point-boundary control of a thermal process described by a partial integro-differential equation with the Fredholm integral operator was investigated. The investigation was carried out using the concept of generalized solution of the boundary value problem of the controlled process. Sufficient conditions of unique solvability of the problem were established, and an algorithm for constructing of complete solution of the nonlinear optimization problem was developed.
complete solution , functional , generalized solution , nonlinear optimization problem , optimal process , point-boundary optimal control , system of nonlinear integral equations
Text of the article Перейти на текст статьи
Kyrgyz-Russian Slavic University, Department of Applied Mathematics and Informatics, Bishkek, 720064, Kyrgyzstan
Taraz Regional University, Department of Applied Mathematics and Physics, Taraz, 080000, Kazakhstan
Osh State University, Department of Business Informatics and Mathematics in Economics, Osh, 723500, Kyrgyzstan
Kyrgyz-Russian Slavic University
Taraz Regional University
Osh State University
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026