title: On the stability of the state of equilibrium of an oscillator with infinitely great frequency of proper oscillations
metadata.name: dc.contributor.author
metadata.value: Bibikov, Yuri N.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Bukaty, Veronika R.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2019-09-05T16:04:27Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2019-09-05T16:04:27Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2019-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Bibikov Yu.N., Bukaty V.R. On the stability of the state of equilibrium of an oscillator with infinitely great frequency of proper oscillations. Vestnik of Saint Petersburg University. Mathematics. Mechanics. Astronomy, 2019, vol. 6 (64), issue 3, pp. 394–398.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu01.2019.304
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/16315
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: A problem of the stability of the state of equilibrium of an oscillator with infinitely great frequency of proper oscillations under periodic in time perturbations, is considered. It is shown that in general case the problem can be solved by consideration of the linear approximation of the perturbation only. In singular case a procedure of the construction of a constant whose sign defines the character of the stability or instability, is presented. Namely, if this constant is negative then the state of equilibrium is asymptotically stable; in the opposite case it is unstable.
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 6 (64); Issue 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: second order differential equation
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: stability
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: periodic perturbation
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: oscillation
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: infinitely great frequency
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: On the stability of the state of equilibrium of an oscillator with infinitely great frequency of proper oscillations
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 394-398.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/16315/1/394-398.pdf
resources.format: Adobe PDF
resources.size: 258,06 kB