Journal of Computational and Engineering Mathematics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



J. Comp. Eng. Math.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Journal of Computational and Engineering Mathematics, 2023, Volume 10, Issue 1, Pages 44–55
DOI: https://doi.org/10.14529/jcem230105
(Mi jcem232)
 

Computational Mathematics

Solution of stochastic non-autonomous Chen – Gurtin model with multipoint initial-final condition

M. A. Sagadeeva, S. A. Zagrebina

South Ural State University, Chelyabinsk, Russian Federation
Abstract: In this paper the authors investigate the solvability of a non-autonomous Chen – Gurtin model with a multipoint initial-final condition in the space of stochastic $\mathbf{K}$-processes. To do this, we first consider the solvability of a multipoint initial-final problem for a non-autonomous Sobolev type equation in the case when the resolving family is a strongly continuous semiflow of operators. The Chen – Gurtin model refers to non-classical models of mathematical physics. Recall that non-classical are those models of mathematical physics whose representations in the form of equations or systems of partial differential equations do not fit within one of the classical types: elliptic, parabolic or hyperbolic. For this model, multipoint initial-final conditions, which generalizing the Cauchy and Showalter-Sidorov conditions, are considered.
Keywords: Sobolev type equations, resolving $C_0$-semiflow of operators, relatively spectral projectors, Nelson – Gliklikh derivative, space of stochastic $\mathbf{K}$-processes.
Received: 03.12.2022
Document Type: Article
UDC: 517.95
MSC: 60H30, 34K50, 34M99
Language: English
Citation: M. A. Sagadeeva, S. A. Zagrebina, “Solution of stochastic non-autonomous Chen – Gurtin model with multipoint initial-final condition”, J. Comp. Eng. Math., 10:1 (2023), 44–55
Citation in format AMSBIB
\Bibitem{SagZag23}
\by M.~A.~Sagadeeva, S.~A.~Zagrebina
\paper Solution of stochastic non-autonomous Chen~-- Gurtin model with multipoint initial-final condition
\jour J. Comp. Eng. Math.
\yr 2023
\vol 10
\issue 1
\pages 44--55
\mathnet{http://mi.mathnet.ru/jcem232}
\crossref{https://doi.org/10.14529/jcem230105}
Linking options:
  • https://www.mathnet.ru/eng/jcem232
  • https://www.mathnet.ru/eng/jcem/v10/i1/p44
  • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Journal of Computational and Engineering Mathematics
    Statistics & downloads:
    Abstract page:27
    Full-text PDF :7
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2025