一类三阶两点边值单调正解的存在性与多解性  

Existence and Mulplicity of Monotone Positive Solutions for A Class of Three-order Two-point Boundary Value Problems

作　　者：杨成[1] 刘文斌[1] 施恂栋[1] 陈海量[1] 

机构地区：[1]中国矿业大学理学院,江苏徐州221008

出　　处：《数学的实践与认识》2009年第20期177-181,共5页Mathematics in Practice and Theory

基　　金：国家自然科学基金(10771212)

摘　　要：利用Krasnosel′skll锥拉伸与锥压缩不动点定理研究一类三阶两点边值问题单调正解的存在性、非存在性与多解性.The existence, nonexistence and multiplicity of monotone positive solutions for a class of three-order two-point boundary value problems are studied by using the Krasonsel＇skill fixed point theorem of cone expansion-compression type.

关 键 词：三阶两点边值问题 正解 存在性 多解性 

分 类 号：O175.8[理学—数学]