摘要
文章主要讨论带有凹非线性项的二阶微分方程周期边值问题的多解性,利用f在0,∞处的渐近性和山路定理,得到非平凡解的多重性结果.
We consider 2th-order differential equation boundary value problems with cancave nonlinearities.Using some asymptotic behavior of f at 0 and ∞ and the mountain theorem,we prove that there are at least two nontrivial solutions as a result.
出处
《太原师范学院学报（自然科学版）》
2011年第1期59-61,74,共4页
Journal of Taiyuan Normal University:Natural Science Edition
关键词
周期解
局部极小值
PS条件
山路定理
periodic solution
the local minimizer
PS condition
mountain pass theorem
