A MULTIPLICITY THEOREM FOR A PERTURBED SECOND-ORDER NON-AUTONOMOUS SYSTEM

Proceedings of the Edinburgh Mathematical Society

Francesca Faraci¹ 

[1] Antonio Iannizzotto

关键词: Primary 34C25;    35A15;    multiple periodic solutions;    second-order non-autonomous system;    critical point theory;   

DOI  :  10.1017/S001309150400149X

学科分类：数学（综合）

来源: Cambridge University Press

【 摘 要 】

In this paper we establish a multiplicity result for a second-order non-autonomous system. Using a variational principle of Ricceri we prove that if the set of global minima of a certain function has at least $k$ connected components, then our problem has at least $k$ periodic solutions. Moreover, the existence of one more solution is investigated through a mountain-pass-like argument.

【 授权许可】

Unknown