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一维p-Laplace耦合边值问题正解的存在性 被引量：2

Existence of Positive Solutions for One-Dimensional p-Laplacian Coupled Boundary Value Problem
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摘要 本文通过构造Banach空间上的算子和不动点理论研究了一维p-Laplacian的耦合边值问题,得出该方程至少存在—个正解的条件. Using operators in Banach space and a fixed point theorem, we study a one-dimensional p-Laplacian coupled boundary value problem, and obtain the conditions for the existence of at least one positive solution.
作者 倪小虹 葛渭高
机构地区 湖州师范学院理学院数学系 北京理工大学理学院数学系
出处 《Journal of Mathematical Research and Exposition》 CSCD 北大核心 2005年第3期489-494,共6页 数学研究与评论（英文版）
基金 浙江省自然科学基金(Y604127)浙江省教育科研基金(20030594).
关键词 边值问题 正解 不动点 boundary value problem positive solution fixed point.
分类号 O175.8 [理学—基础数学]
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参考文献3

二级参考文献13

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共引文献6

同被引文献9

  • 1Agarwal P R, O'Regan D, Wong P J. Positive Solutions of Differential. Difference and Integral Equations[M]. Singapore: Springer-Verlag, 2000.
  • 2Wong F H. Existence of positive solutions for m-laplacian boundary value problems[J]. Application Mathematical Lett, 1999, 12:11-17.
  • 3[7]郭大钧.非线性泛函分析[M].济南:山东科学技术出版社,2000.
  • 4郭大钧.非线性泛函分析[M].济南:山东科技出版社,2000.
  • 5Agarwal P R, O'Regan D, Wong P J. Positive Solutions of Differential, Difference and Integral Equations. Singapore: Springer-Verlag, 2000.
  • 6Wong F H. Existence of Positive Solutions for m-Laplacian Boundary Value Problems. Appl. Math. Lett., 1999, 12:11-17.
  • 7Guo D J, Lakshmikantham V, Liu X Z. Nonlinear Integral Equations in Abstract Spaces. Dordrecht: Kluwer Academic Publisher. 1996.
  • 8柴国庆.奇异边值问题的正解存在性[J].数学物理学报（A辑）,2001,21(4):521-526. 被引量：7
  • 9李翠哲,葛渭高.一维p-Laplacian奇异Sturm-Liouville边值问题的正解[J].应用数学,2002,15(3):13-17. 被引量：17

引证文献2

Journal of Mathematical Research and Exposition
2005年 第3期

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