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

A. Olutimo
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引用次数: 1

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.
一类三阶非线性微分方程组解收敛性的结果
研究了一类三阶非线性微分方程组解的收敛性。当涉及到所考虑的系统的一对解时,这种解的收敛性对应于解的极端稳定性。利用适当的李雅普诺夫泛函,证明了非线性微分方程的解是收敛的。所得结果推广和改进了文献中一些已知的结果。包括一个示例来说明结果。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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