带p-Laplace算子三点边值问题正解存在的充要条件  

Necessary and Sufficient Condition for the Existence of Positive Solutions for the Nonlinear Three-point Boundary Value Problem with p-Laplace

作　　者：王雪枝 仉志余[2] 

机构地区：[1]阳泉市外国语学校,山西阳泉045000 [2]太原工业学院理学系,山西太原030008

出　　处：《数学的实践与认识》2013年第9期208-212,共5页Mathematics in Practice and Theory

基　　金：山西省自然科学基金(2007011019,2011011002-3)

摘　　要：利用锥上不动点定理,讨论了如下p-Laplace算子三点边值问题得到了边值问题φp(u'))'(t)+f(t,u(t),u'(t))=0,0<t<1,u'(0)=0,u(1)=αu(η)存在正解的一个充分必要条件.By using the fixed-point theorem of cone expansion and compression of norm type, a necessary and sufficient condition for the existence of positive solutions for the nonlinear three-point boundary value problem with p-Laplace is obtained.

关 键 词：P-LAPLACE算子 边值问题 锥拉伸与锥压缩不动点定理 正解 

分 类 号：O175.8[理学—数学]