Abstract:
A finite-dimensional nondegenerate system of algebro-differential equations with discontinuances is considered. An equivalent system of discontinuous differential equations is constructed. Conditions of right-hand uniqueness of solution and of convergence of numerical methods are given.
Presented by the member of Editorial Board:L. B. Rapoport
Citation:
I. V. Matrosov, “On right-hand uniqueness of solutions to nondegenerated algebro-differential equations with discontinuances”, Avtomat. i Telemekh., 2007, no. 1, 11–19; Autom. Remote Control, 68:1 (2007), 9–17
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\by I.~V.~Matrosov
\paper On right-hand uniqueness of solutions to nondegenerated algebro-differential equations with discontinuances
\jour Avtomat. i Telemekh.
\yr 2007
\issue 1
\pages 11--19
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\transl
\jour Autom. Remote Control
\yr 2007
\vol 68
\issue 1
\pages 9--17
\crossref{https://doi.org/10.1134/S000511790701002X}
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Linking options:
https://www.mathnet.ru/eng/at918
https://www.mathnet.ru/eng/at/y2007/i1/p11
This publication is cited in the following 5 articles:
Matrosov I.V., Morozov Yu.V., Pesterev A.V., “Numerical Integration of Rolling Equations With the Use of Control Theory”, J. Comput. Syst. Sci. Int., 60:2 (2021), 171–181
Ostrikov A. Ospanov A. Shevtsov A. Vasilenko V. Timurbekova A., “An Empirical-Mathematical Modelling Approach to Explore the Drying Kinetics of Cereals Under Variable Heat Supply Using the Stitched Method”, Acta Agric. Scand. Sect. B-Soil Plant Sci., 71:9 (2021), 762–771
Pesterev V A., Matrosov V I., Morozov V Yu., “Control-Based Approach to Numerical Integration of Rolling Equations”, IFAC PAPERSONLINE, 53:2 (2020), 9602–9607
Rocca A. Acary V. Brogliato B., “Index-2 Hybrid Dae: a Case Study With Well-Posedness and Numerical Analysis”, IFAC PAPERSONLINE, 53:2 (2020), 1888–1893
Alexander Pesterev, Ivan Matrosov, Yury Morozov, 2020 15th International Conference on Stability and Oscillations of Nonlinear Control Systems (Pyatnitskiy's Conference) (STAB), 2020, 1