Tunc, Cemil2021-05-132021-05-132004-10-07Tunc, C. (2004). On the instability of certain sixth-order nonlinear differential equations. <i>Electronic Journal of Differential Equations, 2004</i>(117), pp. 1-6.1072-6691https://hdl.handle.net/10877/13537In this paper, we give an instability criteria for the nonlinear sixth-order vector differential equation X(6) + AX(5) + B(t) Φ (X, Ẋ, Ẍ,...X, X(4), X(5)) X(4) + C(t) Ψ (Ẍ) ...X + D(t) Ω (X, Ẋ, Ẍ,...X, X(4), X(5)) Ẍ + E(t) G(Ẋ) + H(X) = 0. The result extends and includes earlier results [6, 16, 20].Text6 pages1 file (.pdf)enAttribution 4.0 InternationalNonlinear differential equations of sixth orderInstabilityLyapunov functionArticleThis work is licensed under a Creative Commons Attribution 4.0 International License.