title: Razumikhin approach in the generalized Myshkis problem for systems with distributed delay
metadata.name: dc.contributor.author
metadata.value: Egorov, Alexey V.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2023-08-22T09:59:33Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-08-22T09:59:33Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2023-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Egorov A. V. Razumikhin approach in the generalized Myshkis problem for systems with distributed delay. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2023, vol. 19, iss. 2, pp. 148–161.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2023.202
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/43824
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The paper gives sufficient conditions for the solvability of the generalized Myshkis problem for a system of equations with a distributed time-varying delay and a constant kernel. Conditions on the kernel which guarantee the uniform stability of the system for any admissible delay are obtained. The admissible delay in this paper is a piecewise continuous function bounded from above in magnitude and growth rate. The applicability of the obtained conditions is illustrated by two examples.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This research was supported by the Russian Science Foundation (project N 21-71-00052).
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. Applied Mathematics. Computer Science. Control Processes;Volume 19; Issue 2
metadata.lang: -
metadata.name: dc.subject
metadata.value: time-delay system
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: stability
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: distributed delay
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: generalized Myshkis problem
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Razumikhin approach
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Razumikhin approach in the generalized Myshkis problem for systems with distributed delay
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 02.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/43824/1/02.pdf
resources.format: Adobe PDF
resources.size: 412,12 kB