title: On the boundary control problem for a pseudo-parabolic equation with involution
metadata.name: dc.contributor.author
metadata.value: Dekhkonov, Farrukh N.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2024-11-22T17:24:53Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2024-11-22T17:24:53Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2024-09
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Dekhkonov F. N. On the boundary control problem for a pseudo-parabolic equation with involution. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2024, vol. 20, iss. 3, pp. 416–427. https://doi.org/10.21638/spbu10.2024.309
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/spbu10.2024.309
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/47986
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: Previously, some control problems for the pseudo-parabolic equation independent of involution
  were considered. In this paper, we consider a boundary control problem associated
  with a pseudo-parabolic equation with involution in a bounded one-dimensional domain.
  On the part of the border of the considered domain, the value of the solution with control
  function is given. Restrictions on the control are given in such a way that the average value of
  the solution in the considered domain gets a given value. The problem given by the method
  of separation of variables is reduced to the Volterra integral equation of the second kind.
  The existence of the control function was proved by the Laplace transform method.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: en
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 20; Issue 3
metadata.lang: -
metadata.name: dc.subject
metadata.value: boundary problem
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Volterra integral equation
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: control function
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: Laplace transform
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: involution
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: On the boundary control problem for a pseudo-parabolic equation with involution
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: vestnik_spbu10_2024_416.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/47986/1/vestnik_spbu10_2024_416.pdf
resources.format: Adobe PDF
resources.size: 235,07 kB