On the Global Existence of Solutions to a System of Second – Order Nonlinear Differential Equations

Solutions of second – order nonlinear differential system is investigated. A sufficient condition for every solution of the system to exist globally is obtained. Sufficient conditions are placed on the functions  in the system that guarantee global existence of solutions to the system and these conditions are put into a theorem which is proved

On the Global Existence and Boundedness of Solutions of Nonlinear Vector Differential Equations of Third Order

In this paper, we give some criteria to ensure the global existence and boundedness of solutions to a kind of third order nonlinear vector differential equations. By using the Lyapunov\u27s direct method, we obtain a new result on the topic and give an example for the illustrations. Our result includes, completes and improves some earlier results in the literature

Global Existence and Boundedness of Solutions to a Second-Order Nonlinear Differential System

We investigate the global existence and boundedness of solutions to a second-order nonlinear differential system