MULTIPLE PERIODIC SOLUTIONS FOR PERTURBED RELATIVISTIC PENDULUM SYSTEMS

被引：24

作者：

Jebelean, Petru ^{[1
,2
]}

Mawhin, Jean ^{[3
]}

Serban, Calin ^{[1
]}

机构：

[1] West Univ Timisoara, Dept Math, Timisoara 300223, Romania

[2] Romanian Acad, Inst Math Simion Stoilow, Bucharest, Romania

[3] Catholic Univ Louvain, Res Inst Math & Phys, B-1348 Louvain, Belgium

来源：

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2015年 / 143卷 / 07期

关键词：

D O I：

10.1090/S0002-9939-2015-12542-7

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the periodically perturbed N-dimensional relativistic pendulum equation has at least N + 1 geometrically distinct periodic solutions. Also, we obtain the existence of infinitely many solutions for systems with oscillating potential. Both results are obtained by reduction to an equivalent non-singular problem using classical critical point theory.

引用

页码：3029 / 3039

页数：11

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