Instability of solutions of certain nonlinear vector differential equations of third order

Tunc, Ercan2021-05-242021-05-242005-05-11Tunç, E. (2005). Instability of solutions of certain nonlinear vector differential equations of third order. <i>Electronic Journal of Differential Equations, 2005</i>(51), pp. 1-6.1072-6691https://hdl.handle.net/10877/13635In this paper, study the system of differential equations ...X + F(Ẋ) ..X + G(X)Ẋ + H(X, Ẋ, ..X) = 0. We find sufficient conditions for the zero solution to be unstable, and to be the only periodic solution.Text6 pages1 file (.pdf)enAttribution 4.0 InternationalNonlinear differential equations of third orderInstabilityPeriodic solutionsLyapunov's methodInstability of solutions of certain nonlinear vector differential equations of third orderArticle