摘要
利用变分原理研究超线性常微分p-Laplace系统周期解的存在性.在带有脉冲和阻尼作用项时,根据Z_2-型山路定理,得到了系统多重周期解的存在性.
By using variational principle, the authors studied the existence of periodic solutions for ordinary p-Laplacian systems with impulsive effects and damped vibration in the cases when the nonlinearity grows superlinearly. Some results for existence of multiplicity of periodic solutions are obtained via the Z2-type mountain pass theorem.
出处
《应用泛函分析学报》
2016年第2期150-157,共8页
Acta Analysis Functionalis Applicata
基金
国家自然科学基金(31260098)
天元数学基金(11326100)
