Abstract
We consider the system of integral equations of the form Ax +V x = Ψ, where V is the Volterra operator with kernel of convolution type and A is a constant matrix, det A = 0. We prove an existence theorem and establish necessary and sufficient conditions for the kernel of the operator of the system to be trivial.
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Translated from Matematicheskie Zametki, vol. 80, no. 1, 2006, pp. 115–118.
Original Russian Text Copyright © 2006 by V. F. Chistyakov.
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Chistyakov, V.F. On some properties of systems of Volterra integral equations of the fourth kind with kernel of convolution type. Math Notes 80, 109–113 (2006). https://doi.org/10.1007/s11006-006-0114-7
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DOI: https://doi.org/10.1007/s11006-006-0114-7