Asymptotic Stability versus Exponential Stability in Linear Volterra Difference Equations of Convolution Type(The Functional and Algebraic Method for Differential Equations)
Asymptotic Stability versus Exponential Stability in Linear Volterra Difference Equations of Convolution Type(The Functional and Algebraic Method for Differential Equations)
复制标题
卷积型线性Volterra差分方程的渐近稳定性与指数稳定性（微分方程的泛函代数方法）
DOI：
10.1080/10236199608808074
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发表时间：
1996
影响因子：
0.5
通讯作者：
S. Murakami
中科院分区：
文献类型：
--
作者：
S. Elaydi;S. Murakami
结果表明，线性 Volterra 差分方程的一致渐近稳定性并不意味着指数稳定性。然而，如果方程的核呈指数衰减。那么这两个概念在常差分方程中是等价的。
It is shown that uniform asymptotic stability does not imply exponential stability in linear Volterra difference equations. However, if the kernel of the equation decays exponentially. then both concepts are equivalent as in the case of ordinary difference equations.