张兴秋.具有p-Laplacian算子的奇异四阶积分边值问题的正解[J].数学研究及应用,2010,30(3):495~506 |
具有p-Laplacian算子的奇异四阶积分边值问题的正解 |
Positive Solutions for Singular Fourth-Order Integral Boundary-Value Problem with $p$-Laplacian Operator |
投稿时间:2008-05-10 修订日期:2008-10-16 |
DOI:10.3770/j.issn:1000-341X.2010.03.014 |
中文关键词: p-Laplacian算子 奇异边值 积分条件 正解. |
英文关键词:p-Laplacian operator singular boundary value problems integral boundary condition positive solution. |
基金项目:国家自然科学基金(Grant No.10671167); 聊城大学自然科学基金(Grant No.31805). |
|
摘要点击次数: 2796 |
全文下载次数: 1682 |
中文摘要: |
利用上下解方法和不动点定理研究了具有$p$-Laplacian算子的奇异四阶积分边值问题的正解的存在性.本文非线性项允许在$t=0, 1$ 和$x=0$处具有奇异性. |
英文摘要: |
In this paper, we investigate the existence of positive solutions for singular fourth-order integral boundary-value problem with $p$-Laplacian operator by using the upper and lower solution method and fixed point theorem. Nonlinear term may be singular at $t=0$ and/or $t=1$ and $x=0$. |
查看全文 查看/发表评论 下载PDF阅读器 |