Singular Eigenvalue Problems for the Equation y(n) + λp(x)y = 0

被引：0
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作者：
Uri Elias
机构：
[1] Technion,
来源：
Monatshefte für Mathematik | 2004年 / 142卷
关键词：
2000 Mathematics Subject Classification: 34B05, 34C10, 34C11; Key words: Singular eigenvalue problem, nonoscillatory equation;
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摘要：
The paper studies singular eigenvalue problems for the equation y(n) + λp(x)y = 0 with boundary conditions imposed on the derivatives y(i) at the points x = a and x = ∞. We look for singular problems which are analogous to regular problems on a finite interval. It is characterized when each eigenfunction has a finite number of zeros and when the spectrum is discrete or continuous, respectively.
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页码：205 / 225
页数：20
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