title: On the Boundedness of Solutions of a Quasilinear System of Ordinary Differential Equations
metadata.name: dc.contributor.author
metadata.value: Mukhamadiev, Ergashboy
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Naimov, Alizhon Nabidjanovich
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2023-07-04T14:25:38Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-07-04T14:25:38Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2023-06
metadata.lang: -
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu35.2023.203
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/41727
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In the paper, the question of the boundedness of an arbitrary solution of a quasilinear system of ordinary differential equations is investigated under boundedness of the observed values of the solution. The observed values of the solution are a finite set of scalar products of the solution with given vectors. In terms of the properties of the matrix of coefficients of the system of equations and the matrix of coefficients of observed values, theorems on the boundedness of an arbitrary solution with boundedness of the observed values are formulated and proved. The novelty of this paper is that using the method of limit equations, estimates are derived from which the boundedness or stability follows an arbitrary solution of a quasilinear system in terms of boundedness or stability of the observed values of the solution.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: The research was supported by the grant Russian Science Foundation
  No. 23-21-00032 (https://rscf.ru/project/23-21-00032/).
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Differential Equations and Control Processes;Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: quasi-linear system of equations
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: bounded solution
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: observed values
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: limit equation method
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: On the Boundedness of Solutions of a Quasilinear System of Ordinary Differential Equations
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 42-53.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/41727/1/42-53.pdf
resources.format: Adobe PDF
resources.size: 288,49 kB