Email this article Behavior of Trajectories of the Levinson-Smith Equation
- Authors: Krishchenko A.P.1,2
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Affiliations:
- Bauman Moscow State Technical University
- Federal Research Center “Computer Science and Control”
- Issue: Vol 55, No 11 (2019)
- Pages: 1431-1439
- Section: Ordinary Differential Equations
- URL: https://journal-vniispk.ru/0012-2661/article/view/155246
- DOI: https://doi.org/10.1134/S001226611911003X
- ID: 155246
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Abstract
The method of localization of invariant compact sets is used to study the properties of solutions of the Levinson-Smith equation with or without bounded disturbances. Necessary and sufficient conditions for the existence of localizing functions with a bounded universal section are obtained. Conditions for the existence of a bounded localizing set are established. The results are used to describe the solution behavior.
About the authors
A. P. Krishchenko
Bauman Moscow State Technical University; Federal Research Center “Computer Science and Control”
Author for correspondence.
Email: apkri@bmstu.ru
Russian Federation, Moscow, 105005; Moscow, 119333
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