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

B. S.,Ogundare

In this paper, we consider the nonlinear fifth order differential equation $$x^{(v)}+ax^{(iv)}+bḍdot x+f(ḍot{x})+g(\dot{x})+h(x)=p(t; x, \dot{x},ḍot{x},ḍdot x,x^{(iv)})$$ and we used the Lyapunov's second method to give sufficient criteria for the zero solution to be globally asymptotically stable as well as the uniform boundedness of all solutions with their derivatives.