title: Control and perturbation in Sturm — Liouville’s problem with discontinuous nonlinearity
metadata.name: dc.contributor.author
metadata.value: Baskov, Oleg V.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Potapov, Dmitriy K.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2023-08-22T17:42:16Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2023-08-22T17:42:16Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2023-06
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Baskov O. V., Potapov D. K. Control and perturbation in Sturm — Liouville’s problem with discontinuous nonlinearity. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2023, vol. 19, iss. 2, pp. 275–282.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2023.212
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/43834
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: We consider the Sturm — Liouville problem with discontinuous nonlinearity, control and perturbation. Previously obtained results for equations with a spectral parameter and a discontinuous operator are applied to this problem. By the variational method, we have established theorems on the existence of solutions to the Sturm — Liouville problem with discontinuous nonlinearity and to the optimal control problem, as well as on topological properties of the set of the acceptable “control — state” pairs. A one-dimensional analog of the Gol’dshtik model for separated flows of an incompressible fluid with control and perturbation is given as an application.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This research was funded by Russian Science Foundation {project N 23-21-00069),
  https://rscf.ru/en/project/23-21-00069/
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: Sturm—Liouville’s problem
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: discontinuous nonlinearity
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: control problems
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: variational method
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Gol’dshtik’s model
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Control and perturbation in Sturm — Liouville’s problem with discontinuous nonlinearity
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 12.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/43834/1/12.pdf
resources.format: Adobe PDF
resources.size: 399,07 kB