Abstract
Classes of nonlinear integral Volterra equations occurring in identifying dynamic systems are studied. A solution to a nonlinear system of integral Volterra equations of the first kind is constructed in the class of generalized functions with a point support in the form of a sum of singular and regular parts. In obtaining a singular part of the solution, a determined system of linear algebraic equations is used. The method of sequential approximations together with the method of undetermined coefficients allow constructing a regular part. Theorems of existence and uniqueness of generalized solutions are proved.
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Original Russian Text © N.A. Sidorov, D.N. Sidorov, 2009, published in Avtomatika i Telemekhanika, 2009, No. 4, pp. 41–47.
This work was supported by the Federal Education Agency, project no. 091-08-102/1.2.08 and Human Capital Foundation (UK).
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Sidorov, N.A., Sidorov, D.N. Generalized solutions to integral equations in the problem of identification of nonlinear dynamic models. Autom Remote Control 70, 598–604 (2009). https://doi.org/10.1134/S0005117909040067
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DOI: https://doi.org/10.1134/S0005117909040067