A minimax principle for nonlinear eigenvalue problems with applications to nonoverdamped systems
A minimax principle for nonlinear eigenvalue problems with applications to nonoverdamped systems
复制标题
非线性特征值问题的极小极大原理及其在非过阻尼系统中的应用
DOI：
10.1002/mma.1670040126
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发表时间：
1982
影响因子：
2.9
通讯作者：
K. Hadeler
中科院分区：
文献类型：
--
作者：
H. Voss;B. Werner;K. Hadeler
将非线性特征值问题T（λ）u = 0的Rayleigh泛函理论推广到泛函只定义在一个真子集上的情形.该理论适用于不满足过阻尼条件的问题，并产生极大极小特征值。应用阻尼自由振动的弹性体进行了讨论。
The theory of Rayleigh functionals for non-linear eigenvalue problems T(λ) u = 0 is extended to cases where the functional is defined only on a proper subset. The theory applies to problems which do not satisfy an overdamping condition and yields a minimax characterization of eigenvalues. Applications to damped free vibrations of an elastic body are discussed.