Opuscula Math. 34, no. 2 (2014), 257-269
http://dx.doi.org/10.7494/OpMath.2014.34.2.257
Opuscula Mathematica
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.
- 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
- Received: 2013-07-01.
- Revised: 2014-01-14.
- Accepted: 2014-01-24.
