一类非线性三点边值问题正解的存在性  

Existence of Positive Solutions for the Nonlinear Three-Point Boundary Value Problems

作　　者：杨丽[1,2] 修国众[3] 

机构地区：[1]鲁东大学数学与信息学院,山东烟台264025 [2]中国农业大学烟台理工学院,山东烟台264670 [3]71187部队,山东烟台265800

出　　处：《海军航空工程学院学报》2011年第4期477-480,共4页Journal of Naval Aeronautical and Astronautical University

摘　　要：文章研究了一类非线性三点边值问题正解的存在性。运用一种新的方法得到格林函数的一些性质，然后运用Guo—Krasnoselskii不动点定理建立了边值问题在满足很弱的条件下解存在的条件，推广和改善了相关文献的结果。In this paper, considering the nonlinear three-point boundary value problem new method for some properties of Green＇s function was studied. By using Guo-Krasnoselskii fixed point theorem, The existence of solutions was established which improved and generalize some existing results in corresponding literatures.

关 键 词：边值问题 Guo—Krasnoselskii不动点定理 正解 存在性 

分 类 号：O241.7[理学—计算数学]