A Prufer angle approach to singular Sturm-Liouville problems with Molcanov potentials

[摘要] Singular Sturm-Liouville problems for -y '' + qy =lambda y on (0, infinity) are studied for potentials q which are bounded below and satisfy Molcanov's necessary and sufficient condition for discrete spectrum. A Prufer angle approach is given for eigenvalue location and eigenfunction oscillation, paralleling that for the regular case. In particular, the eigenvalues are characterized by a right-hand boundary condition even though q is of limit point type. (c) 2006 Elsevier B.V. All rights reserved.

[发布日期] 2007-11-01

[关键词] singular Sturm-Liouville problem;Prufer angle;Molcanov potential