Work

Coupled System of Hyperbolic Differential Equations: Existence and Stability

Year: 2026

Type: article

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.

Source: Journal of Mathematical Sciences

DOI: 10.1007/s10958-026-08213-9

Authors: Allaberen Ashyralyev, Mesut Negin

Institutions: Peoples' Friendship University of Russia, Bahçeşehir University, Institute of Mathematics and Mathematical Modeling

Language: English

Topic: Differential Equations and Boundary Problems

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,490

Funders: Russian Foundation for Basic Research, Ministry of Education and Science of the Republic of Kazakhstan, RUDN University