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... to the mathematical modeling of nonlinear dynamic systems (objects) of input-output type is based on the Volterra integro-power series. In this paper consideration is given to a numerical method of solving one class of systems of Volterra nonlinear integral equations which are associated with the problem of automatic control of a dynamic object with vector input and output. The algorithms to numerically solve these systems of equations are based on the Newton-Kantorovich method. Specific features ...

Sizikov V., Sidorov D. Generalized quadrature for solving singular integral equations of Abel type in application to infrared tomography // Applied Numerical Mathematics. Vol.106. 2016. P.69-78. DOI: 10.1016/j.apnum.2016.03.004 http://www.sciencedirect.com/science/article/pii/S0168927416300344 We propose the generalized ...