Geodesic
Instability of solutions of certain nonlinear vector differential equations of third order
Electronic Journal of Differential Equations, Tome 2005 (2005).

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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 
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     author = {Tun\c{c}, Ercan},
     title = {Instability of solutions of certain nonlinear vector differential equations of third order},
     journal = {Electronic Journal of Differential Equations},
     publisher = {mathdoc},
     volume = {2005},
     year = {2005},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/EJDE_2005__2005__a292/}
}
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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__a292/