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On the conditional stability of the zero solution of a nonlinear system under linear approximation
| Title | On the conditional stability of the zero solution of a nonlinear system under linear approximation |
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| Authors | P. A. Shamanaev1 1National Research Mordovia State University |
| Annotation | In this paper, sufficient conditions for conditional stability and conditional asymptotic stability of the zero solution of a nonlinear system under linear approximation are obtained. The linear approximation matrix contains at least one eigenvalue with a negative real part. |
| Keywords | conditional stability, partial stability, stable manifolds. |
| Citation | Shamanaev P. A. ''On the conditional stability of the zero solution of a nonlinear system under linear approximation'' [Electronic resource]. Proceedings of the International Scientific Youth School-Seminar "Mathematical Modeling, Numerical Methods and Software complexes" named after E.V. Voskresensky (Saransk, July 29-31, 2025). Saransk: SVMO Publ, 2025. - pp. 279-280. Available at: https://conf.svmo.ru/files/2025/papers/paper56.pdf. - Date of access: 30.08.2025. |
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