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On boundedness of solutions to nonlinear vector differential equations of third-order. (English) Zbl 1220.34052

Summary: We establish sufficient conditions for the boundedness of solutions of a certain class of third order nonlinear vector differential equations. By constructing a Lyapunov function as the basic tool, some results given in the relevant literature are improved.

MSC:

34C11 Growth and boundedness of solutions to ordinary differential equations
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