Askerov, I. M.I. M.Askerov2026-06-302026-06-302019Askerov, I. M. (2019). Approximate method of solving one periodic optimal regulated boundary value problem. Bulletin of Taras Shevchenko National University of Kyiv. Physics and Mathematics(2), 66–69. https://doi.org/10.17721/1812-5409.2019/2.710.17721/1812-5409.2019/2.7https://ir.library.knu.ua/handle/15071834/26268In the present work we considered the solution of one periodic optimal regulated boundary value problem by the asymptotic method. For the solution of the problem with extended functional writing, boundary conditions and Euler-Lagrange equations were found. The approach to the solution of the problem depending on a small parameter by seeking a system of nonlinear differential equations and solving Euler-Lagrange equations, the solution of the general problem in the first approach comes down to solving two nonlinear algebraic equations.Key words: optimal regulation, asymptotic method, periodic condition.Pages of the article in the issue: 66 - 69Language of the article: EnglishIn the present work we considered the solution of one periodic optimal regulated boundary value problem by the asymptotic method. For the solution of the problem with extended functional writing, boundary conditions and Euler-Lagrange equations were found. The approach to the solution of the problem depending on a small parameter by seeking a system of nonlinear differential equations and solving Euler-Lagrange equations, the solution of the general problem in the first approach comes down to solving two nonlinear algebraic equations.Key words: optimal regulation, asymptotic method, periodic condition.Pages of the article in the issue: 66 - 69Language of the article: EnglishenСтаття