Infinitely Many Periodic Solutions for a Class of Second-order Hamiltonian Systems

In this paper we study the existence of infinitely many periodic solutions for second-order Hamiltonian systems{ü（t）＋A（t）u（t）＋▽F（t,u（t））=0,u（0）-u（T）=u^·（0）-u^·（T）=0,where F（t,u） is even in u,and ▽（t,u） is of sublinear growth at infinity and satisfies the Ahmad-Lazer-Paul condition....

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Bibliographic Details
Published inActa Mathematicae Applicatae Sinica Vol. 32; no. 1; pp. 231 - 238
Main Authors Yang, Ming-hai, Chen, Yue-fen, Xue, Yan-fang
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.06.2016
Subjects
Applications of Mathematics
Math Applications in Computer Science
Mathematical and Computational Physics
Mathematics
Mathematics and Statistics
Theoretical
二阶
周期解
哈密顿系统
无穷多
次线性
解的存在性
Fountain theorem
34C37
58E05
second-order Hamiltonian systems
periodic solutions
70H05
37J45
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Summary:In this paper we study the existence of infinitely many periodic solutions for second-order Hamiltonian systems{ü（t）＋A（t）u（t）＋▽F（t,u（t））=0,u（0）-u（T）=u^·（0）-u^·（T）=0,where F（t,u） is even in u,and ▽（t,u） is of sublinear growth at infinity and satisfies the Ahmad-Lazer-Paul condition.
Bibliography:second-order Hamiltonian systems periodic solutions Fountain theorem
11-2041/O1
In this paper we study the existence of infinitely many periodic solutions for second-order Hamiltonian systems{ü（t）＋A（t）u（t）＋▽F（t,u（t））=0,u（0）-u（T）=u^·（0）-u^·（T）=0,where F（t,u） is even in u,and ▽（t,u） is of sublinear growth at infinity and satisfies the Ahmad-Lazer-Paul condition.
ISSN:0168-9673
1618-3932
DOI:10.1007/s10255-016-0552-2