Article citationsMore>>

Ezeilo, J.O.C. (1967) n-Dimensional Extensions of Boundedness and Stability Theorems for Some Third-Order Differential Equations. Journal of Mathematical Analysis and Applications, 18, 395-416.
http://dx.doi.org/10.1016/0022-247X(67)90035-2

has been cited by the following article:

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

  AUTHORS: Akinwale L. Olutimo

  KEYWORDS: Nonlinear Differential Equations, Third Order, Convergence of Solutions, Lyapunov Method

  JOURNAL NAME: International Journal of Modern Nonlinear Theory and Application, Vol.5 No.1, March 7, 2016

  ABSTRACT: Convergence behaviors of solutions arising from certain system of third-order nonlinear differential equations are studied. Such convergence of solutions corresponding to extreme stability of solutions when relates a pair of solutions of the system considered. Using suitable Lyapunov functionals, we prove that the solutions of the nonlinear differential equation are convergent. Result obtained generalizes and improves some known results in the literature. Example is included to illustrate the result.