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一类具p-Laplace算子边值问题解的存在性 被引量：1

Existence of solutions of a type of boundary value problems with p-Laplacain
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摘要 研究一类具p-Laplace算子的微分方程四点边值问题解的存在性.通过一个形式参数,将该问题间接地转化为一个等价的积分算子不动点问题.在非线性项有界、无界以及局部有界条件下,利用Schauder不动点定理分别得到了边值问题解存在的充分条件. The existence of solutions of a type of four-points boundary value problem of differential equations with p-Laplacain was studied and this problem was indirectly turned into integral operator fixed point problem in a parametric form. Sufficient conditions of the existence of solutions were obtained by using Schauder＇s fixed point theorem bounded and locally bounded, respectively. on condition that the non-linear term is bounded, un
作者 贾梅 刘锡平
机构地区 上海理工大学理学院
出处 《上海理工大学学报》 EI CAS 北大核心 2008年第4期319-323,共5页 Journal of University of Shanghai For Science and Technology
基金 上海市教委科研项目资助(05EZ52)
关键词 P—Laplace算子 四点边值问题 SCHAUDER不动点定理 存在性 p-Laplacian operator four-points boundary value problem Schauder＇s fixed pointtheorem existence
分类号 O175.8 [理学—基础数学]
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参考文献6

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共引文献39

同被引文献10

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引证文献1

上海理工大学学报
2008年 第4期

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