Some instability results on certain third order nonlinear vector differential equations
Vol. 2 No. 1 (2007) P.109~P.122
In this paper, we obtain some sufficient conditions under which the zero solution of a certain third order non-linear ordinary vector differential equation is unstable. Our results include and improve some well-known results exist in the literature.
Nonlinear differential equations of third order, instability, Lyapunov's method
MATHEMATICAL SUBJECT CLASSIFICATION 2010
Primary: 34C25, 34D20
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Revised : 2006-06-28