|
|||||
|
|
On constrained Volterra cubic stochastic operators |
|
| Authors: | U U Jamilov Andrejs Reinfelds |
| Institution: | 1. V.I. Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, Tashkent, Uzbekistanjamilovu@yandex.ru;3. Faculty of Physics, Mathematics and Optometry, Department of Mathematics, University of Latvia, Rīga, Latvia;4. Institute of Mathematics and Computer Sciences of UL, Rīga, Latvia |
| Abstract: | 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. |
| Keywords: | Cubic stochastic operator Volterra cubic stochastic operator Lyapunov function trajectory |