Instability of solutions of certain nonlinear vector differential equations of third order
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Date
2005-05-11
Authors
Tunc, Ercan
Journal Title
Journal ISSN
Volume Title
Publisher
Texas State University-San Marcos, Department of Mathematics
Abstract
In 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.
Description
Keywords
Nonlinear differential equations of third order, Instability, Periodic solutions, Lyapunov's method
Citation
Tunç, 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.
Rights
Attribution 4.0 International