Structure of Eigenvalues of Multi-Point Boundary Value Problems
Structure of Eigenvalues of Multi-Point Boundary Value Problems
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DOI：
10.1155/2010/381932
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发表时间：
2010-05
影响因子：
4.1
通讯作者：
Jie Gao;D. Sun;Meirong Zhang
中科院分区：
文献类型：
--
作者：
Jie Gao;D. Sun;Meirong Zhang
本文将研究、、和的特征值结构，其中、和。由于问题的非对称性，该方程可能包含复特征值。本文将得到该方程所有复特征值的完整结构。特别地，证明了该方程总有一列真实的特征值趋于。而且，存在依赖于的常数，使得当满足时，该方程的所有特征值必然是真实的。
The structure of eigenvalues of , , and , will be studied, where , , and . Due to the nonsymmetry of the problem, this equation may admit complex eigenvalues. In this paper, a complete structure of all complex eigenvalues of this equation will be obtained. In particular, it is proved that this equation has always a sequence of real eigenvalues tending to . Moreover, there exists some constant depending on , such that when satisfies , all eigenvalues of this equation are necessarily real.