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On dynamical input reconstruction in a distributed second order equation

  • Yury S. Osipov and Vyacheslav I. Maksimov ORCID logo EMAIL logo
Published/Copyright: July 1, 2021

Abstract

A second order nonlinear differential equation is considered. An algorithm for reconstructing an input from inaccurate measurements of the solution at discrete times is designed. The algorithm based on the constructions of feedback control theory and theory of ill-posed problems is stable with respect to informational noises and computational errors.

MSC 2010: 35R30; 49N45; 49N90

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Received: 2021-01-12
Accepted: 2021-04-25
Published Online: 2021-07-01
Published in Print: 2021-10-01

© 2021 Walter de Gruyter GmbH, Berlin/Boston

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