Guaranteed Estimation of Solutions to the Cauchy Problem When the Restrictions on Unknown Initial Data Are Not Posed

Guaranteed Estimation of Solutions to the Cauchy Problem When the Restrictions on Unknown Initial Data Are Not Posed

The paper deals with Cauchy problems for first-order systems of linear ordinary differential equations with unknown data. It is assumed that the right-hand sides of equations belong to certain bounded sets in the space of square-integrable vector-functions, and the information about the initial cond...

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Bibliographic Details
Main Authors: Oleksandr Nakonechnyi, Yuri Podlipenko, Yury Shestopalov
Format: Article
Language:English
Published: MDPI AG 2021-12-01
Series:Mathematics
Subjects:
indirect noisy observations
estimation
Cauchy problems
impulsive ordinary differential equations
guaranteed mean square estimates
linear functionals
Online Access:https://www.mdpi.com/2227-7390/9/24/3218

Internet

https://www.mdpi.com/2227-7390/9/24/3218

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