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带p-laplace算子的两点边值问题三个正解的存在性
引用本文:李华,仉志余. 带p-laplace算子的两点边值问题三个正解的存在性[J]. 数学的实践与认识, 2008, 38(22)
作者姓名:李华  仉志余
作者单位:1. 中北大学数学系,山西,太原,030051
2. 太原工业学院,数学系,山西,太原,030008
基金项目:国家自然科学基金 , 山西省自然科学基金  
摘    要:利用一个不动点定理,研究一类具有p-laplace算子的二阶微分方程的两点边值问题(φp(x′(t)))′+q(t)f(t,x(t),x′(t))=0,x(0)-B(x′(0))=0,x(1)+B(x′(1))=0.给出了三个正解存在的充分条件.推广并丰富了以往文献的一些结论.

关 键 词:p-laplace算子  两点边值问题  不动点定理

Existence of Three Positive Solutions for the Two-point Boundary Value Problem with p-laplacian
LI Hua,ZHANG Zhi-yu. Existence of Three Positive Solutions for the Two-point Boundary Value Problem with p-laplacian[J]. Mathematics in Practice and Theory, 2008, 38(22)
Authors:LI Hua  ZHANG Zhi-yu
Affiliation:1.Department of Mathematics;North University of China;Taiyuan Shanxi 030051;China;2.Industry collage of Taiyuan;Taiyuan Shanxi 030008;China
Abstract:This paper considers the two-point boundary value problem with p-laplacian: (p(x′(t))′+q(t)f(t,x(t),x′(t))=0,x(0)-B(x′(0))=0,x(1)+B(x′(1))=0,by using a new fixed point theorem.We obtain the sufficient conditions that guarantee the existence of at least three solutions,and extend some conclusions of the references before.
Keywords:p-laplacian  two-point boundary value problem  fixed-point theorem  
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