Stability of functional partial differential equations
Stability of functional partial differential equations
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DOI：
10.1016/0022-0396(85)90013-0
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发表时间：
1985-06
影响因子：
2.4
通讯作者：
S. Lenhart;C. Travis
中科院分区：
文献类型：
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作者：
S. Lenhart;C. Travis
几位作者[L，3，4，6，8，10,111]建立了形如x‘(R)=ia，x(t-rr，)，ri 20，i=L的线性时滞泛函微分方程渐近稳定的充分条件。我们建议从两个方向推广这些结果。首先，我们将考虑泛函偏微分方程，其次，我们将建立这类方程对所有时滞的值渐近稳定的充要条件。我们的结果将包括这些先前的结果作为推论。
Several authors [l, 3, 4, 6, 8, 10, 111 have established sufficient conditions for linear retarded functional differential equations of the form x’(r)= ia, x (t-rr,), ri 2 0, i= l to be asymptotically stable for all values of the delay. We propose to generalize these results in two directions. First, we will consider functional partial differential equations, and second, we will establish necessary and sufficient conditions for this class of equtions to be asymptotically stable for all values of the delays. Our results will include these previous results as corollaries.