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http://hdl.handle.net/11701/44562
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Поле DC | Значение | Язык |
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dc.contributor.author | Pilyugin, Sergei Yu. | - |
dc.contributor.author | Shalgin, Vladimir S. | - |
dc.date.accessioned | 2023-12-27T13:26:29Z | - |
dc.date.available | 2023-12-27T13:26:29Z | - |
dc.date.issued | 2023-12 | - |
dc.identifier.citation | 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) | en_GB |
dc.identifier.other | https://doi.org/10.21638/spbu01.2023.411 | - |
dc.identifier.uri | http://hdl.handle.net/11701/44562 | - |
dc.description.abstract | 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. | en_GB |
dc.description.sponsorship | This research was supported by a grant of Russian Science Foundation no. 23-21-00025, https://rscf.ru/project/23-21-00025/. | en_GB |
dc.language.iso | ru | en_GB |
dc.publisher | St Petersburg State University | en_GB |
dc.relation.ispartofseries | Vestnik of St Petersburg University. Mathematics. Mechanics. Astronomy;Volume 10(68); Issue 4 | - |
dc.subject | differential equation | en_GB |
dc.subject | local parameter identifiability | en_GB |
dc.subject | genericity | en_GB |
dc.title | Conditions of local parameter identifiability for systems of differential equations with an infinite-dimensional parameter | en_GB |
dc.type | Article | en_GB |
Располагается в коллекциях: | Issue 4 |
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Файл | Описание | Размер | Формат | |
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749-761.pdf | 293,4 kB | Adobe PDF | Просмотреть/Открыть |
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