A weakly nonlinear impulsive boundary-value problem is considered in the critical case of the second order. We obtain sufficient conditions of solvability and propose a convergent algorithm for the construction of solutions to these problems. The obtained results agree with the available results of the theory of boundary-value problems for ordinary differential systems and generalize these results to the case of systems with pulsed action.
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Translated from Neliniini Kolyvannya, Vol. 26, No. 2, pp. 261–273, April–June, 2023. Ukrainian DOI: https://doi.org/10.37863/nosc.v26i2.1432.
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Ordynska, Z., Ovchar, R. Boundary-Value Problem with Pulsed Action. Critical Case of the Second Order. J Math Sci 279, 400–413 (2024). https://doi.org/10.1007/s10958-024-07021-3
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DOI: https://doi.org/10.1007/s10958-024-07021-3