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 IJMNTA  Vol.5 No.1 , March 2016
Result on the Convergence Behavior of Solutions of Certain System of Third-Order Nonlinear Differential Equations
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.
Cite this paper: Olutimo, A. (2016) Result on the Convergence Behavior of Solutions of Certain System of Third-Order Nonlinear Differential Equations. International Journal of Modern Nonlinear Theory and Application, 5, 48-58. doi: 10.4236/ijmnta.2016.51005.
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