Characterization of the spectrum of regular boundary value problems for the Sturm-Liouville operator

被引：0
|
作者：
A. S. Makin
机构：
[1] Moscow State University of Instrumental Engineering and Computer Science,
来源：
Differential Equations | 2008年 / 44卷
关键词：
Complex Number; Entire Function; Asymptotic Formula; Spectral Problem; Exponential Type;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
On the interval (0, τ), we consider the spectral problem generated by the Sturm-Liouville equation with an arbitrary complex-valued potential q(x) ∈ L2(0, τ) and with regular (but not strengthened-regular) boundary conditions. Under certain additional assumptions, we establish necessary and sufficient conditions for a set of complex numbers to be the spectrum of such an operator.
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页码：341 / 348
页数：7
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