Periodic Solutions of an Indefinite Singular Equation Arising from the Kepler Problem on the Sphere

被引：9

作者：

Hakl, Robert ^{[1
]}

Zamora, Manuel ^{[2
]}

机构：

[1] AS CR, Inst Math, Prague, Czech Republic

[2] Univ Bio Bio, Dept Matemat, GISDA, Casilla 5-C, Concepcion, Chile

来源：

CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2018年 / 70卷 / 01期

关键词：

singular differential equation; indefinite singularity; periodic solution; Kepler problem on S-1; degree theory; CONSTANT CURVATURE SPACES;

D O I：

10.4153/CJM-2016-050-1

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We study a second-order ordinary differential equation coming from the Kepler problem on S-2. The forcing term under consideration is a piecewise constant with singular nonlinearity that changes sign. We establish necessary and sufficient conditions to the existence and multiplicity of T-periodic solutions.

引用

页码：173 / 190

页数：18

共 9 条

[1]

[Anonymous], 1913, GEOMETRISCHE UNTERSU

[2] SUBHARMONIC SOLUTIONS FOR SOME 2ND-ORDER DIFFERENTIAL-EQUATIONS WITH SINGULARITIES [J].