Functional Differential Equations
Functional Differential Equations
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DOI：
10.1007/978-1-4684-7721-4_9
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发表时间：
1968
期刊：
影响因子：
--
通讯作者：
S. Deo
中科院分区：
文献类型：
--
作者：
S. Deo
李亚普诺夫的第二种方法给出了稳定性和渐近稳定性的充分条件。该方法已在多个方向上得到扩展。7,8 该方法的一个有趣的扩展基本上取决于这样一个事实：满足不等式的函数主要由方程的最大解决定。这种比较原理已成功地应用于研究常微分方程中的各种问题。
Lyapunov’s second method gives sufficient conditions for stability and asymptotic stability. This method has been extended in several directions.7,8One of the interesting extension of this method depends basically on the fact that a function satisfying the inequalityis majorized by the maximal solution of the equationThis comparision principle has been successfully employed to study a variety of problems in ordinary differential equations.