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Author Country (or Countries)

Uzbekistan.

Abstract

We consider `-Volterra quadratic stochastic operators defined on (m? 1)-dimensional simplex, where ` 2 f0; 1; :::;mg. Under some conditions on coefficients of such operators we describe Lyapunov functions and apply them to obtain upper estimates for the set of !- limit points of trajectories. We describe a set of fixed points of `-Volterra operators.

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