Contemporary Mathematics. Fundamental Directions
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Guidelines for authors
Publishing Ethics

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


CMFD:
Year:
Volume:
Issue:
Page:
Find




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

Contemporary Mathematics. Fundamental Directions, 2003, Volume 1, Pages 30–39 (Mi cmfd29)  
This article is cited in 10 scientific papers (total in 10 papers)

Asymptotic Behavior of Solutions of Dynamic Equations

S. Bodinea, M. Bohnerb, D. Lutzc

a University of Puget Sound
b University of Missouri-Rolla
c San Diego State University
Full-text PDF (192 kB) Citations (10)
References:
PDF
HTML
Abstract: We consider linear dynamic systems on time scales, which contain as special cases linear differential systems, difference systems, or other dynamic systems. We give an asymptotic representation for a fundamental solution matrix that reduces the study of systems in the sense of asymptotic behavior to the study of scalar dynamic equations. In order to understand the asymptotic behavior of solutions of scalar linear dynamic equations on time scales, we also investigate the behavior of solutions of the simplest types of such scalar equations, which are natural generalizations of the usual exponential function.
English version:
Journal of Mathematical Sciences, 2004, Volume 124, Issue 4, Pages 5110–5118
DOI: https://doi.org/10.1023/B:JOTH.0000047248.75560.f7
Bibliographic databases:
UDC: 517.938
Language: Russian
Citation: S. Bodine, M. Bohner, D. Lutz, “Asymptotic Behavior of Solutions of Dynamic Equations”, Proceedings of the International Conference on Differential and Functional-Differential Equations — Satellite of International Congress of Mathematicians ICM-2002 (Moscow, MAI, 11–17 August, 2002). Part 1, CMFD, 1, MAI, M., 2003, 30–39; Journal of Mathematical Sciences, 124:4 (2004), 5110–5118
Citation in format AMSBIB
\Bibitem{BodBohLut03}
\by S.~Bodine, M.~Bohner, D.~Lutz
\paper Asymptotic Behavior of Solutions of Dynamic Equations
\inbook Proceedings of the International Conference on Differential and Functional-Differential Equations --- Satellite of International Congress of Mathematicians ICM-2002 (Moscow, MAI, 11--17 August, 2002). Part~1
\serial CMFD
\yr 2003
\vol 1
\pages 30--39
\publ MAI
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd29}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2129127}
\zmath{https://zbmath.org/?q=an:1083.34035}
\transl
\jour Journal of Mathematical Sciences
\yr 2004
\vol 124
\issue 4
\pages 5110--5118
\crossref{https://doi.org/10.1023/B:JOTH.0000047248.75560.f7}
Linking options:
  • https://www.mathnet.ru/eng/cmfd29
  • https://www.mathnet.ru/eng/cmfd/v1/p30
    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Современная математика. Фундаментальные направления
    Statistics & downloads:
    Abstract page:915
    Full-text PDF :143
    References:49
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024