Laplacian型算子三点边值问题正解的存在性  

Existence of Positive Solutions to a Three-point Boundary Value Problem with Laplacian-like Operator

作　　者：李志艳[1] 严树林[2] 葛渭高[3] 

机构地区：[1]河海大学常州校区数理部,江苏常州213022 [2]常州工程职业技术学院基础部,江苏常州213164 [3]北京理工大学数学系,北京100081

出　　处：《数学的实践与认识》2014年第22期219-222,共4页Mathematics in Practice and Theory

基　　金：国家自然科学基金(11071014)

摘　　要：利用Krasnoselskii不动点定理,研究了带Lalacian型算子的三点边值问题正解的存在性,得到其存在正解的充分条件,改进和丰富了以往文献的一些结论.By using well-known Krasnoselskii fixed point theorem, a class of three-point boundary value problem with Laplacian-Like operator is studied, sufficient conditions are obtained to ensure the existence of positive solutions. And the results improve and enrich the conclusions in the literature.

关 键 词：KRASNOSELSKII不动点定理 Laplacian型算子 三点边值问题 正解 

分 类 号：O175.8[理学—数学]