STABILITY OF A SINGULAR CONTINUOUS-SPECTRUM OF STURM-LIOUVILLE OPERATORS

被引：0
|
作者：
CASTILLO, RD
机构：
[1] Departamento de Métodos Matemáticos y Numéricos, IIMAS-UNAM, México, 01000, D.F.
来源：
LETTERS IN MATHEMATICAL PHYSICS | 1991年 / 23卷 / 02期
关键词：
AMS subject classifications (1991): 34L99; 34B24; 47E05;
D O I：
10.1007/BF00703728
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We prove that there exists a continuous potential q such that the operator generated by (lu)(x) = -u"(x) + {q(x) + upsilon(x)}u(x), 0 less-than-or-equal-to x < infinity. and boundary conditions u(0) cos alpha + u'(0) sin alpha = 0 has a singular continuous spectrum in [0, 1] for every locally integrable function upsilon with compact support and every alpha is-an-element-of [0, 2-pi).
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页码：147 / 150
页数：4
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