Geodesic
On Stability of Solutions of Certain Differential Equations of the Third Order
Canadian mathematical bulletin, Tome 10 (1967) no. 5, pp. 681-688

Voir la notice de l'article provenant de la source Cambridge University Press

The purpose of this paper is to obtain a set of sufficient conditions for “global asymptotic stability” of the trivial solution x = 0 of the differential equation 1.1 using a Lyapunov function which is substantially different from similar functions used in [2], [3] and [4], for similar differential equations. The functions f1, f2 and f3 are real - valued and are smooth enough to ensure the existence of the solutions of (1.1) on [0, ∞). The dot indicates differentiation with respect to t. We are taking a and b to be some positive parameters. 
Lalli, B.S. On Stability of Solutions of Certain Differential Equations of the Third Order. Canadian mathematical bulletin, Tome 10 (1967) no. 5, pp. 681-688. doi: 10.4153/CMB-1967-069-9
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[1] 1. Barbasin, E.A., On the stability of certain nonlinear equations of the third order. Priklad. Mat. Mech. 16. 629-632 (1955). Google Scholar

[2] 2. Ezeiolo, J. O. C., On the stability of solutions of certain differential equations of the third order. Quart. J. Math. Oxfor. (2), 11 (1966), 64-69. Google Scholar

[3] 3. Haas, V., A stability result for a third order nonlinear differential equation. J. London Math. Soc. 40 (1966), 31-33. Google Scholar

[4] 4. Simanov, S. N., On stability of solutions of a nonlinear differential equation of third order. Priklad. Mat. Mech., 17 (1955), 369-37Z. Google Scholar

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