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Zbl 1174.34034
Tunç, Cemil
On the boundedness of solutions of certain nonlinear vector differential equations of third order.
(English)
[J] Bull. Math. Soc. Sci. Math. Roum., Nouv. Sér. 49(97), No. 3, 291-300 (2006). ISSN 1220-3874

Summary: This paper is concerned with the boundedness of all solutions of nonlinear vector differential equations of the form $$\dddot{X}+A(t)F(\ddot{X})+B(t)G(\dot{X})+C(t)H(X)=0.$$ Lyapunov's second method is used as a basic tool in obtaining the criteria for the boundedness of all solutions of the equation.
MSC 2000:
*34C11 Qualitative theory of solutions of ODE: Growth, etc.

Keywords: boundedness; Lyapunov's second method; differential equations of third order

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