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
收藏
页码：1505 / 1512
页数：8
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