摘要
本文利用拓扑度理论和一些分析技巧讨论了具p—Laplacian算子型周期边值问题(φp(χ’))’+d/dt gradF(χ)+gradG(χ)=e(t),χ(0)=χ(T),χ’(0)=χ’(T)解的存在性,在对阻尼项d/dtgradF(χ)没有任何限制的前提下,给出了解存在的充分条件.
In this paper, by using the topologicaf degree theory and some analysis skill, the existence of solution for the periodic boundary value problems with p-Laplacian operator is studed. Sufficient conditions to guarantee the existence of solution for the equation are obtained under no restriction being imposed on the damping forces d/dtguadF(x)
出处
《系统科学与数学》
CSCD
北大核心
2003年第1期76-85,共10页
Journal of Systems Science and Mathematical Sciences
基金
中国博士后科学基金(No.200114)资助课题
