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<p>We determine the solvability conditions and construct the general solution and the solution of the Cauchy problem for a system of linear first-order inhomogeneous differential equations with impulsive action at fixed times and rectangular matrices in the system and impulses.</p>

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Cauchy Problem for a System of Linear First-Order Inhomogeneous Differential Equations with Impulsive Action at Fixed Times and Rectangular Matrices in the System and Impulses

  • 期刊论文

  • 发表日期：

    2026年8月3日

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  • Mykhailo Yelishevych

摘要

We determine the solvability conditions and construct the general solution and the solution of the Cauchy problem for a system of linear first-order inhomogeneous differential equations with impulsive action at fixed times and rectangular matrices in the system and impulses.