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Rank criteria for the controllability of a boundary-value problem for a linear system of integro-differential equations with pulse influence

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Abstract

We determine necessary and sufficient conditions for the solvability of boundary-value problems for a linear system of integro-differential equations with pulse influence. We prove theorems on the existence and integral representation of solutions of linear second order integral-sum Volterra equations and linear systems of integro-differential equations with pulse influence at fixed times.

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Authors and Affiliations

  1. West-Kazakhstan Institute of Economics and Finances, Kazakhstan

    M. U. Akhmetov

  2. Aktyubinsk Higher Military Aviation School, Aktyubinsk, Kazakhstan

    R. D. Seilova

Authors
  1. M. U. Akhmetov
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  2. R. D. Seilova
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 52, No. 6, pp. 723–730, June, 2000.

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Akhmetov, M.U., Seilova, R.D. Rank criteria for the controllability of a boundary-value problem for a linear system of integro-differential equations with pulse influence. Ukr Math J 52, 827–836 (2000). https://doi.org/10.1007/BF02591777

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  • DOI: https://doi.org/10.1007/BF02591777

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