Examples of Autonomous Differential Systems with Contrasting Combinations of Lyapunov, Perron, and Upper-Limit Stability Measures

Author:

Sergeev I. N.

Publisher

Allerton Press

Reference17 articles.

1. A. N. Kolmogorov, Foundations of the Theory of Probability (ONTI, Moscow, 1936; Dover, Mineola, N.Y., 2018).

2. K. Itô and H. P. McKean, Diffusion Processes and Their Sample Paths (Springer, Berlin, 1965). https://doi.org/10.1007/978-3-642-62025-6

3. R.Z. Khas’minskii, Stability of Systems of Differential Equations under Random Perturbations of Their Parameters (Nauka, Moscow, 1969).

4. A. D. Venttsel’ and M. I. Freidlin, Fluctuations in Dynamic Systems under the Effect of Small Random Perturbations (Nauka, Moscow, 1979).

5. I. N. Sergeev, ‘‘Definition and properties of measures of stability and instability of zero solution of a differential system,’’ Math. Notes 113, 831–839 (2023). https://doi.org/10.1134/S0001434623050243

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