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On uniform-ultimate boundedness and periodicity results of solutions to certain second order non-linear vector differential equations
In this paper, we employ the second method of Lyapunov to examine sufficient conditions for the uniform-ultimate boundedness of solutions and existence of at least one periodic solution to the following second order vector differential equation: Ẍ+ F(X, Ẋ ) Ẋ + H(X) = P(t, X, Ẋ ), when the …