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<p>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.</p>

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COUPLED SYSTEM OF HYPERBOLIC DIFFERENTIAL EQUATIONS: EXISTENCE AND STABILITY

  • 期刊论文

  • 出版模式：

    开放获取

  • 发表日期：

    2026年2月15日

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  • Allaberen Ashyralyev,
  • Mesut Negin

摘要

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.