Sibirskii Zhurnal Industrial'noi Matematiki
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


Sib. Zh. Ind. Mat.:
Year:
Volume:
Issue:
Page:
Find




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

Sibirskii Zhurnal Industrial'noi Matematiki, 2013, Volume 16, Number 4, Pages 38–46 (Mi sjim803)  
This article is cited in 5 scientific papers (total in 5 papers)

Systems of differential equations with periodic coefficients

G. V. Demidenkoab

a Sobolev Institute of Mathematics SB RAS, 4 Koptyug av., 630090 Novosibirsk
b Novosibirsk State University, 2 Pirogov st., 630090 Novosibirsk
Full-text PDF (212 kB) Citations (5)
References:
PDF
HTML
Abstract: We consider linear systems of differential equations with periodic coefficients. We prove the solvability of nonhomogeneous systems in the Sobolev space $W^1_2(R)$ and establish the estimates for the solutions. Using the result, we prove a theorem on a perturbation for the exponential dichotomy of systems of differential equations with periodic coefficients.
Keywords: exponential dichotomy, periodic coefficients, perturbation, projection, Green matrix, Sobolev space.
Received: 22.07.2013
English version:
Journal of Applied and Industrial Mathematics, 2014, Volume 8, Issue 1, Pages 20–27
DOI: https://doi.org/10.1134/S1990478914010037
Bibliographic databases:
Document Type: Article
UDC: 517.925.51
Language: Russian
Citation: G. V. Demidenko, “Systems of differential equations with periodic coefficients”, Sib. Zh. Ind. Mat., 16:4 (2013), 38–46; J. Appl. Industr. Math., 8:1 (2014), 20–27
Citation in format AMSBIB
\Bibitem{Dem13}
\by G.~V.~Demidenko
\paper Systems of differential equations with periodic coefficients
\jour Sib. Zh. Ind. Mat.
\yr 2013
\vol 16
\issue 4
\pages 38--46
\mathnet{http://mi.mathnet.ru/sjim803}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3234791}
\transl
\jour J. Appl. Industr. Math.
\yr 2014
\vol 8
\issue 1
\pages 20--27
\crossref{https://doi.org/10.1134/S1990478914010037}
Linking options:
  • https://www.mathnet.ru/eng/sjim803
  • https://www.mathnet.ru/eng/sjim/v16/i4/p38
    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Сибирский журнал индустриальной математики
    Statistics & downloads:
    Abstract page:454
    Full-text PDF :141
    References:72
    First page:10
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024