Convergence of Solutions to a Certain Vector Differential Equation of Third Order

Abstract

We give some sufficient conditions to guarantee convergence of solutions to a nonlinear vector differential equation of third order. We prove a new result on the convergence of solutions. An example is given to illustrate the theoretical analysis made in this paper. Our result improves and generalizes some earlier results in the literature.

Result on the Convergence Behavior of Solutions of Certain System of Third-Order Nonlinear Differential Equations

“…They have obtained some results related to the convergence properties of solutions as well as Afuwape in [18]. Very recently, Tunc and Gozen [19] studied the convergence of solution of the equation…”