Stability and boundedness properties of solutions to certain fifth order nonlinear differential equations

摘要

In this paper, we consider the nonlinear fifth order di.erential equation x (v) + ax (iv) + b... x + f (" x) + g( ˙ x) + h(x) = p(t; x, ˙ x, " x, ... x , x (iv) ) and we used the Lyapunov's second method to give su.cient criteria for the zero solution to be globally asymptotically stable as well as the uniform boundedness of all solutions with their derivatives.