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<p>We establish the conditions of solvability and construct both the general solution and the solution of the Cauchy problem for a system of linear inhomogeneous differential equations of the first order with rectangular matrices and a single impulsive action at fixed time.</p>

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CAUCHY PROBLEM FOR A SYSTEM OF LINEAR INHOMOGENEOUS DIFFERENTIAL EQUATIONS OF THE FIRST ORDER WITH RECTANGULAR MATRICES AND A SINGLE IMPULSIVE ACTION AT FIXED TIME

  • 期刊论文

  • 发表日期：

    2025年7月1日

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  • Mykhailo Yelishevych

摘要

We establish the conditions of solvability and construct both the general solution and the solution of the Cauchy problem for a system of linear inhomogeneous differential equations of the first order with rectangular matrices and a single impulsive action at fixed time.