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Abstract <p>An integral problem for hyperbolic system second order with a generalized piecewise-constant argument (GPCA) is investigated. For solution to problem, the method of introducing auxiliary functions is employed alongside Dzhumabaev parametrization method. Solvability conditions of investigated problem derived from non-singularity of a specific matrix. Additionally, an approach for computing an approximate solution is proposed, and we show that it converges to the exact solution.</p>

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Existence Results for an Integral Problem in Hyperbolic Systems with a GPCA

  • 期刊论文

  • 发表日期：

    2025年11月1日

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  • A. E. Imanchiyev,
  • A. T. Assanova

摘要

Abstract

An integral problem for hyperbolic system second order with a generalized piecewise-constant argument (GPCA) is investigated. For solution to problem, the method of introducing auxiliary functions is employed alongside Dzhumabaev parametrization method. Solvability conditions of investigated problem derived from non-singularity of a specific matrix. Additionally, an approach for computing an approximate solution is proposed, and we show that it converges to the exact solution.