Opuscula Math. 34, no. 2 (2014), 257-269
On reconstructing an unknown coordinate of a nonlinear system of differential equations
Marina Blizorukova
Alexander Kuklin
Vyacheslav Maksimov
Abstract.
The paper discusses a method of auxiliary controlled models and the application of this method to solving problems of dynamical reconstruction of an unknown coordinate in a nonlinear system of differential equations. The solving algorithm, which is stable with respect to informational noises and computational errors, is presented.
Keywords:
ordinary differential equations, inverse problems.
Mathematics Subject Classification:
34A55, 49N45.
About the authors ▼
Marina Blizorukova
Ural Federal University, Institute of Mathematics and Mechanics, Ural Branch of Russian Academy of Sciences, S. Kovalevskaya Str. 16, Ekaterinburg, 620990 Russia
Alexander Kuklin
Institute of Economics, Ural Branch of Russian Academy of Sciences, Ekaterinburg, Russia
Vyacheslav Maksimov
Ural Federal University, Institute of Mathematics and Mechanics, Ural Branch of Russian Academy of Sciences, S. Kovalevskaya Str. 16, Ekaterinburg, 620990 Russia
About the article ▼
Received: 2013-07-01.
Revised: 2014-01-14.
Accepted: 2014-01-24.
Cite this article as ▼
Marina Blizorukova, Alexander Kuklin, Vyacheslav Maksimov, On reconstructing an unknown coordinate of a nonlinear system of differential equations, Opuscula Math. 34, no. 2 (2014), 257-269,
http://dx.doi.org/10.7494/OpMath.2014.34.2.257.
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