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Coupled System of Hyperbolic Differential Equations: Existence and Stability | Synapse

February 17, 2026Open Access

Coupled System of Hyperbolic Differential Equations: Existence and Stability

Key Points

This research aims to explore the existence of solutions for second-order linear hyperbolic differential equations and their stability.
Analyzed a system of second-order linear hyperbolic differential equations.
Established initial-boundary value problem frameworks.
Provided a theorem for stability estimates considering coefficient dependence.
Demonstrated the existence of solutions for the proposed equation system.
Proved stability estimates under varying coefficient scenarios.

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.

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Cite this study

Ashyralyev et al. (Sun,) studied this question.

www.synapsesocial.com/papers/6994055d4e9c9e835dfd62de — DOI: https://doi.org/10.1007/s10958-026-08213-9

Authors

A

A. Ashyralyev

M

Mesut Negin

Journals

Journal of Mathematical Sciences

Actions

Institutions

Bahçeşehir University

Peoples' Friendship University of Russia

Institute of Mathematics and Mathematical Modeling

References and Citations

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