Avıt ASANOV

Article | 2012 | Bulletin of the Karaganda University - Mathematics / Вестник Карагандинского университета. Серия Математика68 ( 4 )

In this article the line.r integral equation of Fredgolm-Stilties of the first kind is given. Using the method proposed in A. Asanov, estimates and stability built on M.M.Lavrentev regularizing operator for solving singularly perturbed integral equations of the first kind. The questions of uniqueness of solution of the integral equation and prove a theorem about the sustainability assessment solutions in the classroom L-2.

Elmira ABDILDAYEVA

Article | 2023 | Bulletin of the Karaganda University - Mathematics / Вестник Карагандинского университета. Серия Математика109 ( 1 )

In the paper, the solvability of the nonlinear boundary optimization problem has been investigated for the oscillation processes, described by the integro-differential equation in partial derivatives with Fredholm integral operator. It has been established that the components of the boundary vector control are defined as a solution to a system of nonlinear integral equations of a specific form, and the equations of this system have the property of equal relations. An algorithm for constructing a solution to the problem of nonlinear optimization has been developed. Keywords: general solution; nonlinear optimization; boundary vector c . . .ontrol; functional; optimal conditions; property of equal relation More less