p-Laplacian微分方程边值问题正解的存在性  

Existence of Positive Solutions for a Third-order Boundary Value Problems with p-Laplacian

作　　者：杨腾[1] 赵增勤[1] 

机构地区：[1]曲阜师范大学数学科学学院,山东省曲阜市273165

出　　处：《曲阜师范大学学报（自然科学版）》2012年第2期8-16,共9页Journal of Qufu Normal University(Natural Science)

基　　金：山东省自然科学基金(ZR2010AM005)资助项目

摘　　要：研究了一类具有积分边界条件的三阶非线性微分方程非局部边值问题正解的存在性.利用锥拉伸与压缩不动点定理,得到了边值问题至少存在一个和两个正解的充分条件.In this paper,existence of positive solutions for the nonlocal boundary value problems nonlinear third order differential equations with integral boundary conditions is studied.By means of fixed points of cone expansion and compression,the existence of at least,one and two positive solutions is obtained.

关 键 词：积分边值问题 正解 锥 锥拉伸与压缩不动点定理 

分 类 号：O175.8[理学—数学]