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

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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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     author = {Lalli, B.S.},
     title = {On {Stability} of {Solutions} of {Certain} {Differential} {Equations} of the {Third} {Order}},
     journal = {Canadian mathematical bulletin},
     pages = {681--688},
     year = {1967},
     volume = {10},
     number = {5},
     doi = {10.4153/CMB-1967-069-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1967-069-9/}
}
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