On some properties of systems of Volterra integral equations of the fourth kind with kernel of convolution type |
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| Authors: | V F Chistyakov |
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| Institution: | (1) Institute of System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, Irkutsk |
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| 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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| Keywords: | Volterra integral equation convolution-type kernel left regularizing operator Fredholm operator integro-differential operator |
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