在非线性项不满足Ambrosetti-Rabinowitz条件时研究脉冲微分方程边值问题,在原来的变分结构下,利用Cerami条件下成立的临界点理论来研究脉冲微分方程边值问题古典解的存在性和多重性.
We consider the existence and multiplicity of solutions for a class of non- linear impulsive problems when nonlinearity does not satisfy Ambrosetti Rabinowitz condition. We obtain some new existence theorems of solutions by using critical theo- rems under Cerami condition.