Email this article On Instability in Componentwise Partitioned Systems
- Authors: Razzhevaikin V.N.1
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Affiliations:
- Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,” Russian Academy of Sciences
- Issue: Vol 58, No 6 (2018)
- Pages: 993-1009
- Section: Article
- URL: https://journal-vniispk.ru/0965-5425/article/view/179680
- DOI: https://doi.org/10.1134/S096554251806012X
- ID: 179680
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Abstract
Asymptotic behavior of solutions of componentwise partitioned systems is studied. Sufficient conditions in terms of the properties of asymptotic localization of the right-hand sides of equations under which the solutions are not logarithmically bounded are obtained. Results obtained by the application of the developed theory to the generalized Lotka–Volterra system are presented. In the Appendix, auxiliary issues of the theory related to properties of convex sets are discussed.
About the authors
V. N. Razzhevaikin
Dorodnicyn Computing Center, Federal Research Center “Computer Science and Control,”Russian Academy of Sciences
Author for correspondence.
Email: razzh@mail.ru
Russian Federation, Moscow, 119333
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