Self-Similar Solutions of a Multidimensional Degenerate Partial Differential Equation of the Third Order
Ryskan A. Arzikulov Z. Ergashev T. Berdyshev A.
October 2024Multidisciplinary Digital Publishing Institute (MDPI)
Mathematics
2024#12Issue 20
When studying the boundary value problems’ solvability for some partial differential equations encountered in applied mathematics, we frequently need to create systems of partial differential equations and explicitly construct linearly independent solutions explicitly for these systems. Hypergeometric functions frequently serve as solutions that satisfy these systems. In this study, we develop self-similar solutions for a third-order multidimensional degenerate partial differential equation. These solutions are represented using a generalized confluent Kampé de Fériet hypergeometric function of the third order.
confluent hypergeometric function , degenerate partial differential equation , generalized confluent Kampé de Fériet hypergeometric function , hypergeometric-type system , self-similar solution
Text of the article Перейти на текст статьи
Institute of Mathematics, Physics and Informatics, Abai Kazakh National Pedagogical University, Almaty, 050012, Kazakhstan
School of Digital Technologies, Narxoz University, Almaty, 050035, Kazakhstan
Department of Higher Mathematics, Fergana Polytechnic Institute, Fergana, 150100, Uzbekistan
Department of Higher Mathematics, National Research University “TIIAME, Tashkent, 100000, Uzbekistan
Department of Mathematics, Analysis, Logic and Discrete Mathematics, Ghent University, Gent, 9000, Belgium
Institute of Mathematics
School of Digital Technologies
Department of Higher Mathematics
Department of Higher Mathematics
Department of Mathematics
10 лет помогаем публиковать статьи Международный издатель
Книга Публикация научной статьи Волощук 2026 Book Publication of a scientific article 2026