Higher-Order Derivatives of Lyapunov Functions And Ultimate Boundedness in the Sense of Poisson of Solutions to Systems of Differential Equations
- Authors: Lapin K.S.1
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Affiliations:
- Mordovian State Pedagogical Institute named after M. E. Evseviev
- Issue: Vol 59, No 6 (2018)
- Pages: 1100-1104
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172130
- DOI: https://doi.org/10.1134/S0037446618060137
- ID: 172130
Cite item
Abstract
Using the higher-order derivatives of Lyapunov functions, we obtain sufficient tests of various types for the uniform-ultimate boundedness in the sense of Poisson of solutions and various types of equiultimate boundedness of solutions in the sense of Poisson.
About the authors
K. S. Lapin
Mordovian State Pedagogical Institute named after M. E. Evseviev
Author for correspondence.
Email: klapin@mail.ru
Russian Federation, Saransk