Beck’s Problem
Beck’s Problem
复制标题
贝克问题
DOI：
10.1137/0137017
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发表时间：
1979
影响因子：
1.9
通讯作者：
M. Z. M. Malhardeen
中科院分区：
文献类型：
--
作者：
J. Carr;M. Z. M. Malhardeen
贝克问题是关于一个线性非保守边值问题的零解依赖于参数p的稳定性问题。使零解变得不稳定的p的最小正值称为临界值。对某算子的前两个特征值的分析表明，$p^ * \sim 20.05$是临界值的上界。本文证明了其临界值为p^ * $。
Beck’s problem is concerned with the stability of the zero solution of a linear nonconservative boundary value problem depending on a parameter p. The minimum positive value of p for which the zero solution becomes unstable is known as the critical value. The analysis of the first two eigenvalues of a certain operator shows that $p^ * \sim 20.05$ is an upper bound for the critical value. In this paper we prove that the critical value is $p^ * $.