On a family of singular integro-differential equations |
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| Authors: | M V Bulatov E V Chistyakova |
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| Institution: | 1.Institute of System Dynamics and Control Theory, Siberian Branch,Russian Academy of Sciences,Irkutsk,Russia |
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| Abstract: | Integro-differential systems in which the matrix multiplying the derivative of the unknown vector function is identically
singular are analyzed. This analysis is based on the special properties of the matrix polynomials associated with the original
system. An existence theorem is proved, and a numerical method for finding the solution is proposed and justified. |
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