On a class of singular Sturm-Liouville periodic boundary value problems

被引：5

作者：

Cabada, Alberto ^{[2
]}

Angel Cid, J. ^{[1
]}

机构：

[1] Univ Jaen, Dept Matemat, Jaen 2307, Spain

[2] Univ Santiago de Compostela, Dept Analise Matemat, Fac Matemat, Santiago De Compostela 15782, Spain

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2011年 / 12卷 / 04期

关键词：

Singular Sturm-Liouville problem; Periodic solution; Solutions on unbounded intervals; SATELLITE; EQUATION; OSCILLATIONS; INTERVALS; MOTION; ORBIT;

D O I：

10.1016/j.nonrwa.2011.02.010

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Keeping in mind the singular model for the periodic oscillations of the axis of a satellite in the plane of the elliptic orbit around its center of mass, we give sufficient conditions for the solvability of a class of singular Sturm-Liouville equations with periodic boundary value conditions. To this end, under a suitable change of variables, we present a new existence result for problems defined in the real half-line. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：2378 / 2384

页数：7

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