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Halanay型不等式及非线性泛函微分方程的Lagrange稳定性 被引量：1

Halanay-type Inequality and Lagrange Stability for Nonlinear Functional Differential Equations
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摘要 证明了一个Halanay型不等式并用它研究了半线性泛函微分方程的Lagrange稳定性.通过利用矩阵测度,以欧基里德空间范数构造简单的李雅普诺夫函数,得到了半线性泛函微分方程关于部分变元为Lagrange稳定的充分条件.在矩阵测度这一框架下统一了数个现有结果. A new Halanay-type inequality is proved and applied to the study of Lagrange stability for semilinear functional differential equations （FDEs）. By using matrix measures, constructed simple Lyapunov functions and obtained verifiable sufficient conditions for the Lagrange stability with respect to partial variables for semilinear FDEs. The results provide a unifying approach to studying the stability of nonlinear FDEs and combine many existing results in a single framework.
作者 郭韵霞
机构地区 珠海城市职业技术学院基础部
出处 《河北师范大学学报（自然科学版）》 CAS 北大核心 2008年第3期287-291,共5页 Journal of Hebei Normal University：Natural Science
关键词 Halanay型不等式 矩阵测度 LAGRANGE稳定性 泛函微分方程 Halanay type inequality matrix measure Lagrange stability functional differential equations
分类号 O175 [理学—基础数学] O178 [理学—基础数学]
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参考文献13

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二级参考文献10

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共引文献3

同被引文献9

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引证文献1

河北师范大学学报（自然科学版）
2008年 第3期

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