COUPLED SYSTEM OF HYPERBOLIC DIFFERENTIAL EQUATIONS: EXISTENCE AND STABILITY

Abstract This paper investigates a system of second-order linear hyperbolic differential equations and establishes the existence of solutions to the initial-boundary value problem. Furthermore, a theorem providing stability estimates for solutions with coefficient dependence is proven.

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Publication Details

Journal
Journal of Mathematical Sciences
Published
2026-02-15
DOI
https://doi.org/10.1007/s10958-026-08213-9
Primary Topic
Nonlinear Differential Equations Analysis
Type
article
Field-Weighted Citation Impact
0.00

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article

COUPLED SYSTEM OF HYPERBOLIC DIFFERENTIAL EQUATIONS: EXISTENCE AND STABILITY

A. Ashyralyev, Mesut Negin
Journal of Mathematical Sciences
Nonlinear Differential Equations Analysis
article

COUPLED SYSTEM OF HYPERBOLIC DIFFERENTIAL EQUATIONS: EXISTENCE AND STABILITY

A. Ashyralyev, Mesut Negin
article en

Abstract

Abstract This paper investigates a system of second-order linear hyperbolic differential equations and establishes the existence of solutions to the initial-boundary value problem. Furthermore, a theorem providing stability estimates for solutions with coefficient dependence is proven.

Journal of Mathematical Sciences
Peoples' Friendship University of Russia (RU), Bahçeşehir University (TR), Institute of Mathematics and Mathematical Modeling (KZ)
Russian Foundation for Basic Research, Ministry of Education and Science of the Republic of Kazakhstan
Openalex Percentile: Top 52%
Nonlinear Differential Equations Analysis
DOIOpen Access PDFOpenAlex
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COUPLED SYSTEM OF HYPERBOLIC DIFFERENTIAL EQUATIONS: EXISTENCE AND STABILITY — A. Ashyralyev, Mesut Negin · Journal of Mathematical Sciences (2026) | TGRS Research Map | TGRS