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具p-Laplacian算子型周期边值问题解的存在性
ON THE EXISTENCE OF SOLUTION FOR THE PERIODIC BOUNDARY VALUE PROBLEMS WITH p-LAPLACIAN OPERATOR
【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.
【Abstract】 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)
【关键词】 周期边值问题;
拓扑度;
存在性;
充分条件;
【Key words】 Periodic boundary value; toplogical degree; existence; sufficient conditions.;
【Key words】 Periodic boundary value; toplogical degree; existence; sufficient conditions.;
【基金】 中国博士后科学基金(No.200114)资助课题
- 【文献出处】 系统科学与数学 ,Journal of Systems Science and Mathematical Sciences , 编辑部邮箱 ,2003年01期
- 【分类号】O177
- 【被引频次】18
- 【下载频次】123