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Smith, R. A.

Stability of certain systems of second order differential equations. (English) Zbl 0214.34602

Ann. Mat. Pura Appl., IV. Ser. 82, 257-266 (1969).
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Cited in 2 Documents

MSC:

34D20 Stability of solutions to ordinary differential equations
34D40 Ultimate boundedness (MSC2000)
34A34 Nonlinear ordinary differential equations and systems
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References:

[1] Amerio, L., Soluzioni quasi-periodiche o limitate di sistemi differenziali non lineari quasi-periodiche o limitate, Ann. Mat. Pura Appl., 39, 4, 97-119 (1955) · Zbl 0066.07202
[2] I. BarbĂlat,Systèmes d’équations différentielles de type Liénard, « Abh. Deutsch. Akad. Wiss. Berlin Kl. Math. Phys. Tech. », 1965, uo. 1, pp. 206-218. · Zbl 0199.14303
[3] B. P. Demidovič,On the dissipative character of certain nonlinear systems of differential equations (Russian), « Vestnik Moskov Univ. Ser. I Mat. Meh. », 1961, no. 6, pp. 19-27. · Zbl 0121.31304
[4] Duffin, R. J., Exponential decay in nonlinear networks, Proc. Amer. Math. Soc., 7, 1094-1106 (1956) · Zbl 0077.08905 · doi:10.2307/2033047
[5] Ezeilo, J. O. C., On the convergence of solutions of certain systems of second order differential equations, Ann. Mat. Pura Appl., 72, 4, 239-252 (1966) · Zbl 0144.10504
[6] Lim, Y. S.; Kazda, L. F., A study of second order nonlinear systems, J. Math. Anal. Appl., 8, 423-444 (1964) · Zbl 0128.08803 · doi:10.1016/0022-247X(64)90052-6
[7] Loud, W. S., Boundedness and convergence of solutions of x″+cx′+g(x)=e(t), Duke Math. J., 24, 63-72 (1957) · Zbl 0077.09002 · doi:10.1215/S0012-7094-57-02412-2
[8] Mirsky, L., An Introduction to Linear Algebra (1955), Oxford: Clarendon Press, Oxford · Zbl 0066.26305
[9] Starzinskii, V. M., Sufficient conditions for stability of a mechanical system with one degree of freedom, Prikl. Mat. Meh., 16, 369-374 (1952) · Zbl 0047.17805
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