一类基尔霍夫型微分系统的周期解

Periodic solutions for a class of Kirchhoff-type differential systems

利用变分原理研究一类超线性基尔霍夫型p(t)-Laplace系统的周期解。在Ambrosetti-Rabinowitz型增长条件不满足时,根据变化的山路定理,得到了系统周期解的存在性结果。

By using variational principle, the author studied periodic solutions for a class of superlinear Kirchhoff-type p(t)-Laplacian systems. Under the condition of no Ambrosetti-Rabinowitz-type growth, some results for the existence of periodic solutions are obtained by means of a variant mountain pass type theorem.