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<p>We consider a system of three loaded differential equations: one linear second order hyperbolic equation and two first order differential equations with regular coefficients. Under certain conditions on coefficients of these three equations, we obtain a representation of the variety of solutions via two arbitrary constants and prove the unique solvability of the initial value problem.</p>

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A Class of Loaded Systems of Second Order Partial Differential Equations

  • 期刊论文

  • 发表日期：

    2025年1月11日

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  • Fayzullo M. Shamsudinov

摘要

We consider a system of three loaded differential equations: one linear second order hyperbolic equation and two first order differential equations with regular coefficients. Under certain conditions on coefficients of these three equations, we obtain a representation of the variety of solutions via two arbitrary constants and prove the unique solvability of the initial value problem.