On constrained Volterra cubic stochastic operators
Uygun JamilovV.I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent, UzbekistanAndrejs ReinfeldsFaculty of Physics, Mathematics and Optometry, Department of Mathematics, University of Latvia, Rīga, Latvia
ABI
Аннотация
We consider constrained Volterra cubic stochastic operators and construct several Lyapunov functions for the constrained Volterra cubic stochastic operators. We prove that such kind operators do not have periodic trajectories. Finally, we show that the set of all constrained Volterra cubic stochastic operators is a convex compact set and find the extreme points of this set.
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