Geodesic
Instability of solutions of certain nonlinear vector differential equations of third order
Electronic journal of differential equations, Tome 2005 (2005)
Zbl   EuDML
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.
Classification : 34D20, 34C25, 34A34
Keywords: nonlinear differential equations of third order, instability, periodic solution, Lyapunov's method 
Tunç,  Ercan. Instability of solutions of certain nonlinear vector differential equations of third order. Electronic journal of differential equations, Tome 2005 (2005). http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a92/
@article{EJDE_2005__2005__a92,
     author = {Tun\c{c},  Ercan},
     title = {Instability of solutions of certain nonlinear vector differential equations of third order},
     journal = {Electronic journal of differential equations},
     year = {2005},
     volume = {2005},
     zbl = {1075.34046},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a92/}
}
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