Solvability of the Boundary Value Problem for a System of Parabolic Equations
Abdikalikova G.
30 March 2026John Wiley and Sons Ltd
Mathematical Methods in the Applied Sciences
2026#49Issue 54328 - 4339 pp.
In this article, a boundary value problem for a parabolic equation with convection is considered. To solve the problem, a fundamental solution of a parabolic equation with almost periodic coefficients is constructed using the Levy parametrix method. An additional problem is investigating to establish a sufficient condition for the existence and uniqueness of an almost periodic solution to a boundary value problem by means of a special choice of the initial function. Sufficient conditions are obtained for the solvability of a boundary value problem with a half-space boundary condition for a parabolic equation with variable coefficients.
almost periodic solution , convective-diffusion type equation , Levy parametrix method , semi-spatial boundary value problem , variable coefficients
Text of the article Перейти на текст статьи
Department Mathematics, K.Zhubanov Aktobe Regional University, Aktobe, Kazakhstan
Department Mathematics
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026