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.