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Cauchy Problem for a System of Linear Inhomogeneous Differential Equations of the First Order with Degenerate Matrix at the Derivatives and Pulsed Actions at Fixed Times

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We establish conditions of solvability and find the general solution and the solution of the Cauchy problem for a system of linear inhomogeneous differential equations of the first order with degenerate matrix at the derivatives and pulsed actions at fixed times.

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References

  1. A. M. Samoilenko, M. I. Shkil’, and V. P. Yakovets’, Linear Systems of Differential Equations with Degenerations [in Ukrainian], Vyshcha Shkola, Kyiv (2000).

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Correspondence to M. A. Yelishevich.

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Translated from Neliniini Kolyvannya, Vol. 25, No. 4, pp. 325–340, October–December, 2022.

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Yelishevich, M.A. Cauchy Problem for a System of Linear Inhomogeneous Differential Equations of the First Order with Degenerate Matrix at the Derivatives and Pulsed Actions at Fixed Times. J Math Sci 277, 240–257 (2023). https://doi.org/10.1007/s10958-023-06829-9

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  • DOI: https://doi.org/10.1007/s10958-023-06829-9

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