Instability of solutions of certain nonlinear vector differential equations of third order
In this paper, study the system of differential equations $$ dddot{X}+F(dot{X})ddot{X}+G(X)dot{X} +H(X,dot{X},ddot{X})=0,. $$ We find sufficient conditions for the zero solution to be unstable, and to be the only periodic solution.
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| Format: | Article |
| Language: | English |
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Texas State University
2005-05-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2005/51/abstr.html |