Avis, RafaelNaulin, Raul2018-08-282018-08-281997-10-15Avis, R. & Naulin, R. (1997). Asymptotic instability of nonlinear differential equations. <i>Electronic Journal of Differential Equations, 1997</i>(16), pp. 1-7.1072-6691https://hdl.handle.net/10877/7638This article shows that the zero solution to the system x' = A(t)x + ƒ(t, x), ƒ(t, 0) = 0 is unstable. To show instability, we impose conditions on the nonlinear part ƒ(t, x) and on the fundamental matrix of the linear system y' = A(t)y. Our results generalize the instability results obtained by J. M. Bownds, Hatvani-Pintér, and K. L. Chiou.Text7 pages1 file (.pdf)enAttribution 4.0 InternationalLiapunov instabilityh-StabilityArticle