Matematicheskie Trudy
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Mat. Tr.:
Year:
Volume:
Issue:
Page:
Find




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

Matematicheskie Trudy, 2006, Volume 9, Number 2, Pages 191–204 (Mi mt53)  
A Method for Constructing Solutions to Linear Systems of Partial Differential Equations

A. A. Shlapunov

Krasnoyarsk State University
Full-text PDF (1129 kB)
References:
PDF
HTML
Abstract: We obtain some conditions of solvability in Sobolev spaces for the systems of linear partial differential equations and deduce the corresponding formulas for solutions to these systems. The solutions are given as the sum of the series whose terms are the iterations of some pseudodifferential operators constructed explicitly.
Key words: overdetermined systems of partial differential equations, operator equations of the first kind.
Received: 21.10.2005
English version:
Siberian Advances in Mathematics, 2007, Volume 17, Issue 2, Pages 144–152
DOI: https://doi.org/10.3103/S1055134407020046
Bibliographic databases:
UDC: 517.95+517.98
Language: Russian
Citation: A. A. Shlapunov, “A Method for Constructing Solutions to Linear Systems of Partial Differential Equations”, Mat. Tr., 9:2 (2006), 191–204; Siberian Adv. Math., 17:2 (2007), 144–152
Citation in format AMSBIB
\Bibitem{Shl06}
\by A.~A.~Shlapunov
\paper A Method for Constructing Solutions to Linear Systems of Partial Differential Equations
\jour Mat. Tr.
\yr 2006
\vol 9
\issue 2
\pages 191--204
\mathnet{http://mi.mathnet.ru/mt53}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2301605}
\elib{https://elibrary.ru/item.asp?id=9530052}
\transl
\jour Siberian Adv. Math.
\yr 2007
\vol 17
\issue 2
\pages 144--152
\crossref{https://doi.org/10.3103/S1055134407020046}
Linking options:
  • https://www.mathnet.ru/eng/mt53
  • https://www.mathnet.ru/eng/mt/v9/i2/p191
    • Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические труды Siberian Advances in Mathematics
    Statistics & downloads:
    Abstract page:442
    Full-text PDF :156
    References:47
    First page:1
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024