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Journal of Siberian Federal University. Mathematics & Physics, 2008, Volume 1, Issue 2, Pages 188–196 (Mi jsfu18)  
This article is cited in 7 scientific papers (total in 7 papers)

A Generalized Model of Nonlinear Operators of Volterra Type and Lyapunov Functions

Rasul N. Ganikhodzhaev, Mansoor X. Saburov

National University of Uzbekistan
Full-text PDF (321 kB) Citations (7)
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Abstract: In some problems of population genetics we deal with studying asymptotic behavior of the trajectory of nonlinear mappings of a simplex into itself. The present paper is devoted to investigation of homeomorphisms of such mappings and asymptotic behavior. Such a homeomorphism allows us to determine the pre-history of a biological system.
Keywords: nonlinear operators, asymptotical behavior, Lyapunov function.
Received: 01.09.2007
Received in revised form: 03.02.2008
Accepted: 10.04.2008
Bibliographic databases:
UDC: 519.98
Language: Russian
Citation: Rasul N. Ganikhodzhaev, Mansoor X. Saburov, “A Generalized Model of Nonlinear Operators of Volterra Type and Lyapunov Functions”, J. Sib. Fed. Univ. Math. Phys., 1:2 (2008), 188–196
Citation in format AMSBIB
\Bibitem{GanSab08}
\by Rasul~N.~Ganikhodzhaev, Mansoor~X.~Saburov
\paper A Generalized Model of Nonlinear Operators of Volterra Type and Lyapunov Functions
\jour J. Sib. Fed. Univ. Math. Phys.
\yr 2008
\vol 1
\issue 2
\pages 188--196
\mathnet{http://mi.mathnet.ru/jsfu18}
\elib{https://elibrary.ru/item.asp?id=11482596}
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    • This publication is cited in the following 7 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал Сибирского федерального университета. Серия "Математика и физика"
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    References:60
     
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