title: Conditions of local parameter identifiability for systems of differential equations with an infinite-dimensional parameter
metadata.name: dc.contributor.author
metadata.value: Pilyugin, Sergei Yu.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Shalgin, Vladimir S.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2023-12-27T13:26:29Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-12-27T13:26:29Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2023-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Pilyugin S.Yu., ShalginV. S. Conditions of local parameter identifiability for systems of differential equations with an infinite-dimensional parameter. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2023, vol. 10 (68), issue 4, pp. 749–761. https://doi.org/10.21638/spbu01.2023.411 (In Russian)
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu01.2023.411
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/44562
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The problem of parameter identification (determining parameters of a system by observing
  solutions or functions of them) is one of the main problems of the applied theory of
  differential equations. The property of local identifiability plays the most important role in
  solving this problem. The presence of this property means that one can uniquely determine
  values of parameters of a system in a neighborhood of a particular parameter by observing
  solutions. Earlier, the case of a finite-dimensional parameter was mostly studied in this
  issue. The problem of local parameter identifiability in the case of an infinite-dimensional
  parameter is less studied. In this paper, we propose a new method for obtaining sufficient
  conditions for local parameter identifiability in the case of an infinite-dimensional parameter.
  Under these conditions, an infinite-dimensional parameter belonging to certain classes
  is locally identifiable by observing a solution at a finite set of points. For system with linear
  dependence on a parameter, we establish the genericity of the mentioned conditions.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This research was supported by a grant of Russian Science Foundation no. 23-21-00025,
  https://rscf.ru/project/23-21-00025/.
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: Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 10(68); Issue 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: differential equation
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: local parameter identifiability
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: genericity
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Conditions of local parameter identifiability for systems of differential equations with an infinite-dimensional parameter
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 749-761.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/44562/1/749-761.pdf
resources.format: Adobe PDF
resources.size: 293,4 kB