On one solution of a periodic boundary value problem for a hyperbolic equations
Гиперболалық теңдеулер үшiн периодтық шеттiк есептiң бiр шешiмi туралы
Об одном решении периодической краевой задачи для гиперболического уравнения
Tokmagambetova T.D. Orumbayeva N.T.
2023E.A.Buketov Karaganda State University Publish House
Bulletin of the Karaganda University. Mathematics Series
2023#109Issue 1141 - 155 pp.
In a rectangular domain, we consider a boundary value problem periodic in one variable for a system of partial differential equations of hyperbolic type. Introducing a new unknown function, this problem is reduced to an equivalent boundary value problem for an ordinary differential equation with an integral condition. Based on the parametrization method, new approaches to finding an approximate solution to an equivalent problem are proposed and its convergence is proved. This made it possible to establish conditions for the existence of a unique solution of a semiperiodic boundary value problem for a system of second-order hyperbolic equations.
algorithm , approximate solution , boundary value problem , hyperbolic equations , parametrization method
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Karaganda University of the name of academician E.A. Buketov, Karaganda, Kazakhstan
Karaganda University of the name of academician E.A. Buketov
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026