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

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 coefficients do not satisfy the regularity conditions. Additionally, we investigate the asymptotic behaviour of solutions in resonance cases.

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Publication Details

Journal
Eurasian Mathematical Journal
Published
2025-01-01
DOI
https://doi.org/10.32523/2077-9879-2025-16-3-90-101
Primary Topic
Quantum chaos and dynamical systems
Type
article
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article

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

Yaudat Talgatovich Sultanaev, Н. Ф. Валеев, Alibek Yeskermessuly
Eurasian Mathematical Journal
Quantum chaos and dynamical systems
article

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

Yaudat Talgatovich Sultanaev, Н. Ф. Валеев, Alibek Yeskermessuly
article en

Abstract

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 coefficients do not satisfy the regularity conditions. Additionally, we investigate the asymptotic behaviour of solutions in resonance cases.

Eurasian Mathematical JournalVol. 16(3)
Openalex Percentile: Top 78%
Quantum chaos and dynamical systems
DOIOpen Access PDFOpenAlex
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ASYMPTOTICS OF SOLUTIONS OF THE STURM-LIOUVILLE EQUATION IN VECTOR-FUNCTION SPACE — Yaudat Talgatovich Sultanaev, Н. Ф. Валеев, et al. · Eurasian Mathematical Journal (2025) | TGRS Research Map | TGRS