The theorem on the region of asymptotic stability and its applications
DOI:
https://doi.org/10.17072/1993-0550-2022-1-5-13Keywords:
differential equations, periodic solutions, Lyapunov functions, asymptotic stabilityAbstract
The article considers a theorem on the region of asymptotic stability of solutions of ordinary differential equations, which is generalized to the case of a system of equations, where the right-hand side explicitly depends on time. It is shown how it can be used to answer the question of whether the equation under consideration has periodic solutions other than the trivial one, and how, using the constructed Lyapunov functions, one can find these periodic solutions.References
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Copyright (c) 2022 Геннадий Григорьевич Иванов, Геннадий Викторович Алферов, Владимир Степанович Королев
This work is licensed under a Creative Commons Attribution 4.0 International License.
Articles are published under license Creative Commons Attribution 4.0 International (CC BY 4.0).
