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, 2013, Volume 16, Number 2, Pages 111–141 (Mi mt263)  
This article is cited in 11 scientific papers (total in 11 papers)

Application of M-matrices in construction of exponential estimates for solutions to the Cauchy problem for systems of linear difference and differential equations

N. V. Pertsev

Omsk Branch of Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences, Omsk, Russia
Full-text PDF (313 kB) Citations (11)
References:
PDF
HTML
Abstract: We construct a family of exponential estimates for solutions to the Cauchy problem for systems of linear difference and ordinary differential equations and differential equations with aftereffect whose matrices are of a special form. We use the monotone method and properties of nondegenerate M-matrices. We also study some specific examples of systems of equations.
Key words: systems of linear difference and differential equations, systems of linear differential equations with aftereffect, exponential stability, exponential estimates, nonnegative matrices, nondegenerate M-matrices, monotone method.
Received: 17.09.2012
English version:
Siberian Advances in Mathematics, 2014, Volume 24, Issue 4, Pages 240–260
DOI: https://doi.org/10.3103/S1055134414040026
Bibliographic databases:
Document Type: Article
UDC: 517.929
Language: Russian
Citation: N. V. Pertsev, “Application of M-matrices in construction of exponential estimates for solutions to the Cauchy problem for systems of linear difference and differential equations”, Mat. Tr., 16:2 (2013), 111–141; Siberian Adv. Math., 24:4 (2014), 240–260
Citation in format AMSBIB
\Bibitem{Per13}
\by N.~V.~Pertsev
\paper Application of M-matrices in construction of exponential estimates for solutions to the Cauchy problem for systems of linear difference and differential equations
\jour Mat. Tr.
\yr 2013
\vol 16
\issue 2
\pages 111--141
\mathnet{http://mi.mathnet.ru/mt263}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3184041}
\transl
\jour Siberian Adv. Math.
\yr 2014
\vol 24
\issue 4
\pages 240--260
\crossref{https://doi.org/10.3103/S1055134414040026}
Linking options:
  • https://www.mathnet.ru/eng/mt263
  • https://www.mathnet.ru/eng/mt/v16/i2/p111
    • This publication is cited in the following 11 articles:
    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:392
    Full-text PDF :115
    References:76
    First page:4
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024