On the Unique Solvability of the Initial Boundary Value Problem for Hyperbolic Systems With Periodic Conditions
Bekbauova A. Meirambekuly A. Imanchiyev A.
15 March 2026John Wiley and Sons Ltd
Mathematical Methods in the Applied Sciences
2026#49Issue 43238 - 3248 pp.
This article examines the unique solvability of a boundary value problem for hyperbolic systems under periodic conditions. To solve the stated problem, the Dzhumabaev method is employed, which transforms the original boundary value problem into an equivalent multipoint boundary value problem for ordinary differential equations with parameters, incorporating both initial and additional boundary conditions. Furthermore, the study establishes a connection between the unique solvability of the original problem and the invertibility of the matrix (Formula presented.). Recurrent relations for determining the elements of the inverse matrix are also derived.
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K.Zhubanov Aktobe Regional University, Aktobe, Kazakhstan
K.Zhubanov Aktobe Regional University
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026