Email this article On Nonergodic Uniform Lotka–Volterra Operators
- Authors: Mukhamedov F.M.1, Jamilov U.U.2, Pirnapasov A.T.3
-
Affiliations:
- Department of Mathematical Sciences, College of Science
- Romanovskiy Institute of Mathematics
- Faculty of Mathematics
- Issue: Vol 105, No 1-2 (2019)
- Pages: 258-264
- Section: Article
- URL: https://journal-vniispk.ru/0001-4346/article/view/151567
- DOI: https://doi.org/10.1134/S0001434619010280
- ID: 151567
Cite item
Open Access
Access granted
Subscription Access
Abstract
In this paper, we introduce uniform Lotka–Volterra operators and construct Lyapunov functions for them. We establish that the ergodic averages associated with operators of such kind diverge.
Keywords
About the authors
F. M. Mukhamedov
Department of Mathematical Sciences, College of Science
Author for correspondence.
Email: far75m@yandex.ru
United Arab Emirates, Al Ain, Abu Dhabi, 15551
U. U. Jamilov
Romanovskiy Institute of Mathematics
Author for correspondence.
Email: jamilovu@yandex.ru
Uzbekistan, Tashkent, 100170
A. T. Pirnapasov
Faculty of Mathematics
Author for correspondence.
Email: pirnapasov_imc@mail.ru
Germany, Bochum, 44780
Supplementary files
