On a new class of boundary value problems for the Sturm-Liouville operator

被引：0
|
作者：
A. S. Makin
机构：
[1] Moscow State University of Instrument Engineering and Computer Science,
来源：
Differential Equations | 2013年 / 49卷
关键词：
Dirichlet Problem; Root Function; Liouville Operator; Associate Function; Simple Spectrum;
D O I：
暂无
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学科分类号：
摘要：
We consider the spectral problem generated by the Sturm-Liouville operator with complex-valued potential q(x) ∈ L2(0, π) and degenerate boundary conditions. We show that the set of potentials q(x) for which there exist associated functions of arbitrarily high order in the system of root functions is everywhere dense in L1(0, π).
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页码：262 / 266
页数：4
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