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On the boundedness of solutions of certain nonlinear vector differential equations of third order. (English) Zbl 1174.34034

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:

34C11 Growth and boundedness of solutions to ordinary differential equations
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