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ISSN:2164-6457 (print)
ISSN:2164-6473 (online)
Journal of Applied Nonlinear Dynamics
Miguel A. F. Sanjuan (editor), Albert C.J. Luo (editor)
Miguel A. F. Sanjuan (editor)

Department of Physics, Universidad Rey Juan Carlos, 28933 Mostoles, Madrid, Spain

Email: miguel.sanjuan@urjc.es

Albert C.J. Luo (editor)

Department of Mechanical and Industrial Engineering, Southern Illinois University Ed-wardsville, IL 62026-1805, USA

Fax: +1 618 650 2555 Email: aluo@siue.edu

On Identically Distributed non-Volterra Cubic Stochastic Operator

Journal of Applied Nonlinear Dynamics 6(1) (2017) 79--90 | DOI:10.5890/JAND.2017.03.006

U. U. Jamilov$^{1}$; M. Ladra$^{2}$

$^{1}$ Institute of Mathematics, National University of Uzbekistan, Tashkent, 100125, Uzbekistan

$^{2}$ Department of Algebra, University of Santiago de Compostela, Santiago de Compostela, 15782, Spain

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Abstract

We introduce the notion of identically distributed strictly non-Volterra cubic stochastic operator. We show that any identically distributed strictly non-Volterra cubic stochastic operator has a unique fixed point and that such operator has the property of being regular.

Acknowledgments

This work was partially supported by a grant from the Niels Henrik Abel Board. The first author thanks the University of Santiago de Compostela (USC), Spain, for the kind hospitality and for providing all facilities. The second author was supported by Ministerio de Economía y Competitividad (Spain), grant MTM2013-43687-P (European FEDER support included) and by Xunta de Galicia, grant GRC2013- 045 (European FEDER support included).

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