Summary
In this paper my previous result [1] on the boundedness of solutions of (1.1.1) is fackled by use of a suitably chosen Liapounov function. This fresh approach leads to a more direct proof of the boundedness Theorem and makes for substantial reduction in each of my previous conditions on f and g.
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References
J. O. C. Ezeilo,Proc. London Math, Soc., 13 (1963), pp. 99–124.
-- --,Ibid (1967) (in press).
—— ——,Journal London Math. Soc., 38 (1963), pp. 11–16.
V. A. Pliss,Soviet Mathematics, (Doklay) 2 (1961), pp. 930–932.
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Ezeilo, J.O.C. On the boundedness of the solutions of the equation\(\dddot x + a\ddot x + f(x)\dot x + g(x) = p(t)\) . Annali di Matematica 80, 281–299 (1968). https://doi.org/10.1007/BF02413632
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DOI: https://doi.org/10.1007/BF02413632