l-Volterra Quadratic Stochastic Operators: Lyapunov Functions, Trajectories

We consider '-Volterra quadratic stochastic operators defined on (m i 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.

Перевод пока недоступен