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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 6 > No. 2

 
   

l-Volterra Quadratic Stochastic Operators: Lyapunov Functions, Trajectories

PP: 329-335
Author(s)
U.A. Rozikov, A. Zada,
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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