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Boundary-Value Problems for Differential Systems with Pulsed Action

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We establish the coefficient necessary and sufficient conditions for the existence of solutions of weakly nonlinear boundary-value problems for systems of ordinary differential equations with pulsed action at fixed times and propose an iterative algorithm for the construction of these solutions.

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References

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  4. A. A. Boichuk and R. F. Khrashchevskaya, “Weakly nonlinear boundary-value problems for differential systems with pulse influence,” Ukr. Mat. Zh., 45, No. 2, 221–225 (1993); English translation: Ukr. Math. J., 45, No. 2, 235–240 (1993).

  5. A. A. Boichuk, N. A. Perestyuk, and A. M. Samoilenko, “Periodic solutions of impulsive differential equations in critical cases,” Differents. Uravn., No. 9, 1516–1521 (1991).

  6. I. A. Bondar and R. F. Ovchar, “Bifurcation of solutions of the boundary-value problem for systems of integrodifferential equations with degenerate kernel,” Nelin. Kolyv., 20, No. 4, 465–476 (2017); English translation: J. Math. Sci., 238, No. 3, 224–235 (2019).

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Authors and Affiliations

  1. “I. Sikorsky Kyiv Polytechnic Institute” Ukrainian National Technical University, Peremohy Ave., 37, Kyiv, 03056, Ukraine

    Z. P. Ordynska & R. F. Ovchar

Authors
  1. Z. P. Ordynska
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  2. R. F. Ovchar
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Correspondence to R. F. Ovchar.

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Translated from Neliniini Kolyvannya, Vol. 24, No. 3, pp. 373–377, July–September, 2021.

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Ordynska, Z.P., Ovchar, R.F. Boundary-Value Problems for Differential Systems with Pulsed Action. J Math Sci 272, 278–283 (2023). https://doi.org/10.1007/s10958-023-06416-y

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  • DOI: https://doi.org/10.1007/s10958-023-06416-y

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