Geodesic
On Some Properties of Systems
Matematičeskie zametki, Tome 80 (2006) no. 1, pp. 115-118

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We consider the system of integral equations of the form $Ax+Vx=\nobreak \psi$, where $V$ is the Volterra operator with kernel of convolution type and $A$ is a constant matrix, $\det A=\nobreak 0$. We prove an existence theorem and establish necessary and sufficient conditions for the kernel of the operator of the system to be trivial.
Keywords: Volterra integral equation, left regularizing operator, Fredholm operator, integro-differential operator.
Mots-clés : convolution-type kernel 
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     author = {V. F. Chistyakov},
     title = {On {Some} {Properties} of {Systems}},
     journal = {Matemati\v{c}eskie zametki},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_2006_80_1_a13/}
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V. F. Chistyakov. On Some Properties of Systems. Matematičeskie zametki, Tome 80 (2006) no. 1, pp. 115-118. http://geodesic.mathdoc.fr/item/MZM_2006_80_1_a13/