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<p>In this paper, we examine the existence and uniqueness of solutions for a&#xa0;system of Volterra integral equations with a&#xa0;weakly singular kernel. We approximate the solution of this system using the product integration method. The accuracy and efficiency of this method are illustrated in some numerical examples.</p>

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ON A SYSTEM OF VOLTERRA INTEGRAL EQUATIONS WITH A WEAKLY SINGULAR KERNEL

  • 期刊论文

  • 发表日期：

    2026年2月1日

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  • M. Ghiat,
  • S. Kamouche,
  • A. Khellaf,
  • W. Merchela

摘要

In this paper, we examine the existence and uniqueness of solutions for a system of Volterra integral equations with a weakly singular kernel. We approximate the solution of this system using the product integration method. The accuracy and efficiency of this method are illustrated in some numerical examples.