We establish necessary and sufficient conditions for the existence of solutions of a weakly nonlinear boundary-value problem for a system of integrodifferential equations. By the methods of the theory of pseudoinverse matrices, we obtain necessary and sufficient conditions for the existence of solutions of systems of linear integrodifferential equations with impulsive action at fixed times.
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Translated from Neliniini Kolyvannya, Vol. 16, No. 4, pp. 460–474, October–December, 2013.
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Boichuk, O.A., Holovats’ka, I.A. Boundary-Value Problems for Systems of Integrodifferential Equations. J Math Sci 203, 306–321 (2014). https://doi.org/10.1007/s10958-014-2135-1
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DOI: https://doi.org/10.1007/s10958-014-2135-1