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Structure of the general solutions to boundary-value problems for ordinary differential equations under pulse influence studied by using semireciprocal matrices

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Abstract

The general solutions of linear boundary-value problems for systems of ordinary differential equations under pulse influence are constructed by using semireciprocal matrices and the generalized Green matrix.

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References

  1. A. M. Samoilenko, N. I. Ronto, and O. O. Kurbanbaev,A Collocation Method for boundary-value Problems for Ordinary Differential Equations under Pulse Influence [in Russian], Preprint No. 89.16, Institute of Mathematics, Ukrainian Academy of Sciences, Kiev (1989).

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  3. A. M. Samoilenko, and N. A. Perestyuk,Differential Equations under Pulse Influence [in Russian], Vyshcha Shkola, Kiev (1987).

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Authors and Affiliations

  1. Institute of Applied Mathematics and Informatics, Technical University, Bulgaria

    L. I. Karandzhulov

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  1. L. I. Karandzhulov
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 45, No. 5, pp. 616–625, May, 1993.

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Karandzhulov, L.I. Structure of the general solutions to boundary-value problems for ordinary differential equations under pulse influence studied by using semireciprocal matrices. Ukr Math J 45, 671–683 (1993). https://doi.org/10.1007/BF01058205

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  • DOI: https://doi.org/10.1007/BF01058205

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