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

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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

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\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}

Linking options:

https://www.mathnet.ru/eng/jsfu18

https://www.mathnet.ru/eng/jsfu/v1/i2/p188

This publication is cited in the following 7 articles:

X. R. Rasulov, “On the qualitative analysis of a class of Volterra quadratic stochastic operators with continuous time”, Math. Notes, 116:5 (2024), 1080–1093
Saburov M., “On Discrete-Time Replicator Equations With Nonlinear Payoff Functions”, Dyn. Games Appl., 12:2 (2022), 643–661
Mukhamedov F., Embong A.F., Rosli A., “Orthogonal-Preserving and Surjective Cubic Stochastic Operators”, Ann. Funct. Anal., 8:4 (2017), 490–501
Mukhamedov F., Saburov M., “Stability and Monotonicity of Lotka-Volterra Type Operators”, Qual. Theor. Dyn. Syst., 16:2 (2017), 249–267
M. Kh. Saburov, “On the Surjectivity of Quadratic Stochastic Operators Acting on the Simplex”, Math. Notes, 99:4 (2016), 623–627
Rozikov U.A., Zhamilov U.U., “Volterra quadratic stochastic operators of a two-sex population”, Ukrainian Math. J., 63:7 (2011), 1136–1153
Ganikhodzhaev R., Mukhamedov F., Rozikov U., “Quadratic stochastic operators and processes: results and open problems”, Infin. Dimens. Anal. Quantum Probab. Relat. Top., 14:2 (2011), 279–335

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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