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<p>The dynamical boundary value problem for viscoelastic half-space with cut in the form of a strip is considered. The problem is reduced to the singular integral equation of first kind. Using the method of orthogonal polynomials, the integral equation is reduced to an infinite system of linear algebraic equations. The quasi-completely regularity of the obtained system is proved and the reduction method for approximate solution is developed.</p>

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Dynamical boundary value problem for a viscoelastic half-space with cut

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年1月28日

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  • Nugzar Shavlakadze,
  • Nana Odishelidze,
  • Bachuki Pachulia,
  • F. Criado-Aldeanueva

摘要

The dynamical boundary value problem for viscoelastic half-space with cut in the form of a strip is considered. The problem is reduced to the singular integral equation of first kind. Using the method of orthogonal polynomials, the integral equation is reduced to an infinite system of linear algebraic equations. The quasi-completely regularity of the obtained system is proved and the reduction method for approximate solution is developed.