具p-Laplacian算子型周期边值问题解的存在性

刘斌;庾建设

系统科学与数学 ›› 2003, Vol. 23 ›› Issue (1) : 76-085.

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PDF(329 KB)
系统科学与数学 ›› 2003, Vol. 23 ›› Issue (1) : 76-085. DOI: 10.12341/jssms09672
论文

具p-Laplacian算子型周期边值问题解的存在性

    刘斌(1),庾建设(2)
作者信息 +

ON THE EXISTENCE OF SOLUTION FOR THE PERIODIC BOUNDARY VALUE PROBLEMS WITH p-LAPLACIAN OPERATOR

    Liu Bin
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文章历史 +

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 fo

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

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刘斌 , 庾建设. 具p-Laplacian算子型周期边值问题解的存在性. 系统科学与数学, 2003, 23(1): 76-085. https://doi.org/10.12341/jssms09672
Liu Bin. ON THE EXISTENCE OF SOLUTION FOR THE PERIODIC BOUNDARY VALUE PROBLEMS WITH p-LAPLACIAN OPERATOR. Journal of Systems Science and Mathematical Sciences, 2003, 23(1): 76-085 https://doi.org/10.12341/jssms09672
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