title: On the qualitative properties of the solution of a nonlinear boundary value problem in the dynamic theory of p-adic strings
metadata.name: dc.contributor.author
metadata.value: Khachatryan, Khachatur A.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Petrosyan, Haykanush S.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2021-01-19T13:35:04Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2021-01-19T13:35:04Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2020-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Khachatryan Kh. A., Petrosyan H. S. On the qualitative properties of the solution of a nonlinear boundary value problem in the dynamic theory of p-adic strings. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2020, vol. 16, iss. 4, pp. 423–436.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2020.407
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/22457
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: The article considers a boundary value problem for a class of singular integral equations
  with an almost total-difference kernel and convex nonlinearity on the positive half-line. This
  problem arises in the dynamic theory of p-adic open-closed strings. It is proved that any nonnegative
  and bounded solution of a given boundary value problem is a continuous function
  and the difference between the limit and the solution is itself an integrable function on the
  positive half-line. For a particular case, it is proved that the solution is a monotonically
  non-decreasing function. A uniqueness theorem is established in the class of nonnegative
  and bounded functions. At the conclusion of the article, a specific applied example of this
  boundary problem is given.
metadata.lang: en_GB
metadata.name: dc.description.sponsorship
metadata.value: This work was supported by the Russian Science Foundation (project N 19-11-00223).
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 16; Issue 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: boundary value problem
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: convexity
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: continuity
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: summability
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: monotonicity
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: solution limit
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: On the qualitative properties of the solution of a nonlinear boundary value problem in the dynamic theory of p-adic strings
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 423-436.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/22457/1/423-436.pdf
resources.format: Adobe PDF
resources.size: 424,24 kB