ASYMPTOTICS OF SOLUTIONS OF THE STURM-LIOUVILLE EQUATION IN VECTOR-FUNCTION SPACE

Sultanaev Ya.T. Valeev N.F. Yeskermessuly A.
January 2025 L.N. Gumilyov Eurasian National University

Eurasian Mathematical Journal
2025 #16 Issue 3 90 - 101 pp.

In this paper, we study the asymptotic behaviour of fundamental systems of solutions to the Sturm-Liouville equation with rapidly oscillating potentials in a two-dimensional vector-function space. We consider different cases in which the coe cients do not satisfy the regularity conditions. Additionally, we investigate the asymptotic behaviour of solutions in resonance cases.

asymptotic methods , L-diagonal system , rapidly oscillating coe cients , resonance case , vector-function

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Chair of Mathematics and Statistics, M. Akmulla Bashkir State Pedagogical University, 3a October Revolution St, Ufa, 450000, Russian Federation
Faculty of Mechanics and Mathematics, Chair of Mathematical Analysis, Center for Applied and Fundamental Mathematics, M.V. Lomonosov Moscow State University, 1 Leninskie gory, Moscow, 119991, Russian Federation
Faculty of Natural Sciences and Informatization, Altynsarin Arkalyk Pedagogical Institute, 17 Auelbekov St, Arkalyk, 110300, Kazakhstan

Chair of Mathematics and Statistics
Faculty of Mechanics and Mathematics
Faculty of Natural Sciences and Informatization

10 лет помогаем публиковать статьи Международный издатель

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