On stability of motion relative to a part of variables under constantly acting perturbations. (English. Russian original) Zbl 0498.70032
J. Appl. Math. Mech. 45, 304-310 (1982); translation from Prikl. Mat. Mekh. 45, 419-427 (1981).
MSC:
| 70K20 | Stability for nonlinear problems in mechanics |
| 34D10 | Perturbations of ordinary differential equations |
| 34D20 | Stability of solutions to ordinary differential equations |
References:
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| [2] | Malkin, I. G., Theory of Stability of Motion (1966), NAUKA: NAUKA Moscow · Zbl 0136.08502 |
| [3] | Germaidze, V. E.; Krasovskii, N. N., On stability with constantly acting disturbances, PMM, Vol.21, No.6 (1957) |
| [4] | Krasovskii, N. N., Stability of Motion (1963), FIZMATGIZ: FIZMATGIZ Stanford, Cal, See also in English · Zbl 0109.06001 |
| [5] | Vrkoč, I., Integral stability, Czech. Math. J., Vol.9, No.1 (1959) · Zbl 0084.28802 |
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| [10] | Karimov, A. U., On stability relative to a part of the variables under constantly acting perturbations, (Mathematical Physics and Electro-dynamics (1973), IZD. mGU: IZD. mGU Moscow) · Zbl 0317.73030 |
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| [13] | Rouche, N.; Habets, P.; Laloy, M., Stability Theory by Liapunov’s Direct Method (1977), SPRINGER-VERLAG: SPRINGER-VERLAG New York-Heidelberg · Zbl 0364.34022 |
| [14] | Matrosov, V. M., On the stability of motion, PMM, Vol.26, No.5 (1962) · Zbl 0123.05404 |
| [15] | Khatvani, L., On the use of differential inequalities in stability theory, Vestn. Mgu, Ser, Mat. Mekh., No.3 (1975) |
| [16] | Wazhewski, T., Systèmes des équations et des inégalités differentielles ordinaires aux deuxièmes membres monotones et leurs applications, Ann. Soc. Polon. math., Vol.23 (1950) · Zbl 0041.20705 |
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