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.

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  • 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.
Opuscula Mathematica - cover

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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