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一类p-Laplacian方程四点边值问题正解的存在性
引用本文:纪德红,葛渭高. 一类p-Laplacian方程四点边值问题正解的存在性[J]. 数学的实践与认识, 2007, 37(19): 168-172
作者姓名:纪德红  葛渭高
作者单位:北京理工大学,应用数学系,北京,100081
基金项目:国家自然科学基金;高等学校博士学科点专项科研项目
摘    要:利用范数形式的锥拉伸与压缩不动点定理,讨论了一类p-Laplacian方程四点边值问题,获得了正解的存在性定理.

关 键 词:正解  p-Laplacian算子  不动点定理  
修稿时间:2007-03-12

Existence of Positive Solutions for Four-Point Boundary Value Problem of p-Laplacian Equations
JI De-hong,GE Wei-gao. Existence of Positive Solutions for Four-Point Boundary Value Problem of p-Laplacian Equations[J]. Mathematics in Practice and Theory, 2007, 37(19): 168-172
Authors:JI De-hong  GE Wei-gao
Abstract:The existence of positive solutions for four-point boundary value problems of p-Laplacian equations is studied by using the fixed-point theorem of cone expansion-compression type with norm.Several sufficient conditions are established.
Keywords:positive solution  p-Laplacianoperator  fixed point theorem  cone
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