Asymptotics of the spectrum of the Sturm-Liouville operator with regular boundary conditions

被引:0
作者
A. S. Makin
机构
[1] Moscow State University of Mechanical Engineering and Computer Science,
来源
Differential Equations | 2008年 / 44卷
关键词
Differential Equation; Asymptotic Formula; Spectral Problem; LIOUVILLE Operator; Obvious Relation;
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学科分类号
摘要
On the interval (0, π), we consider the spectral problem generated by the Sturm-Liouville operator with regular but not strongly regular boundary conditions. For an arbitrary potential q(x) ∈ L1 (0, π) [q(x) ∈ L2(0, π)], we establish exact asymptotic formulas for the eigenvalues of this problem.
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页码:645 / 658
页数:13
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