摘要
利用变化的喷泉定理,研究了一类分数阶哈密顿系统。构造合适的工作空间和变分结构,在非线性项超二次增长的情形下获得该系统非平凡解的存在性,相关结论推广和改进了某些已有的结果。
Using the variant fountain theorem, a class of fractional Hamihonian systems are studied. With establishing appropriate work space and variational structure, the existence of nontrivial solutions for the superquadratic fractional Hamihonian systems is obtained, and the obtained results extend and improve some known results.
出处
《中山大学学报(自然科学版)》
CAS
CSCD
北大核心
2016年第5期21-26,共6页
Acta Scientiarum Naturalium Universitatis Sunyatseni
基金
国家自然科学基金资助项目(11371117)
重庆师范大学基金资助项目(15XLB011)
关键词
分数阶哈密顿系统
喷泉定理
非平凡解
fractional Hamihonian systems
fountain theorem
nontrivial solutions