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Perturbations of nonlinear systems of differential equations. (English) Zbl 0156.09805


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[1] Alekseev, V. M., An estimate for the perturbations of the solutions of ordinary differential equations (Russian), Vestnik Moskov. Univ. Ser. I Mat. Meh., no 2, 28-36 (1961)
[2] Wazewski, T., Sur la limitation des intégrales des systèmes d’équations différentialles linéaires ordinaires, Stud. Math., 10, 48-59 (1948) · Zbl 0036.05703
[3] Coddington, E. A.; Levinson, N., Theory of Ordinary Differential Equations (1955), McGraw-Hill: McGraw-Hill New York · Zbl 0042.32602
[4] Bellman, R., Stability Theory of Differential Equations (1953), McGraw-Hill: McGraw-Hill New York · Zbl 0052.31505
[5] Malkin, I. G., Stability in the case of constantly acting disturbances, Prikl. Mat. Meh. Akad. Nauk SSSR, 8, 241-245 (1944) · Zbl 0061.19504
[6] Lefschetz, S., Differential Equations: Geometric Theory (1957), Interscience: Interscience New York · Zbl 0080.06401
[7] Massera, J. L., Contributions to stability theory, Ann. Math., 64, 182-206 (1956) · Zbl 0070.31003
[8] Hahn, W., Theory and Application of Liapunov’s Direct Method (1963), Prentice-Hall: Prentice-Hall Englewood Cliffs, N.J, (English translation) · Zbl 0119.07403
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