Damped vibration problems with nonlinearities being sublinear at both zero and infinity

被引：4

作者：

Chen, Guanwei ^{[1
]}

机构：

[1] Univ Jinan, Sch Math Sci, Jinan 250022, Shandong, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2016年 / 39卷 / 06期

基金：

中国国家自然科学基金;

关键词：

damped vibration problems; infinitely many periodic solutions; subquadratic at both zero and infinity; variational method; FAST HOMOCLINIC SOLUTIONS; THEOREMS; MULTIPLICITY; EXISTENCE;

D O I：

10.1002/mma.3584

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we study a class of damped vibration problems with nonlinearities being sublinear at both zero and infinity, and we obtain infinitely many nontrivial periodic solutions by using a variant fountain theorem. To the best of our knowledge, there is no published result concerning this case by this method. Copyright (c) 2015 John Wiley & Sons, Ltd.

引用

页码：1505 / 1512

页数：8

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