title: On the Discontinuity of Extreme Exponents of Oscillation on a Set of Linear Homogeneous Differential Systems
metadata.name: dc.contributor.author
metadata.value: Stash, Aydamir Khazretovich
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2023-04-11T10:04:58Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-04-11T10:04:58Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2023-03
metadata.lang: -
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu35.2023.106
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/41279
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: In this paper, we study the questions of the discontinuity of the extreme oscillation exponents on the set of linear homogeneous differential systems with continuous coefficients on the positive axis. The existence of points on a set of differential systems is established in which all the higher and lower exponents of the oscillation zeros, roots, and hypercorns are not only not continuous, but are not continuous either from above or from below. Moreover, the non-invariance of the extreme exponent of oscillations with respect to infinitesimal perturbations has been proved. When proving the results of this work, the cases of parity and odd order of the matrix of the system are considered separately.
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 1
metadata.lang: -
metadata.name: dc.subject
metadata.value: differential equations
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: linear systems
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: oscillation
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: number of zeros
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: exponents of oscillation
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Lyapunov exponents
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: On the Discontinuity of Extreme Exponents of Oscillation on a Set of Linear Homogeneous Differential Systems
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 78-109.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/41279/1/78-109.pdf
resources.format: Adobe PDF
resources.size: 367,77 kB