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.