四阶奇异边值问题两个正解的存在性  

The Existence of Two Positive Solutions of Fourth-order Singular Boundary Value Problems

作　　者：王春梅[1] 张克梅[1] 邢美红[1] 

机构地区：[1]曲阜师范大学数学科学学院,山东曲阜273165

出　　处：《应用泛函分析学报》2008年第1期49-57,共9页Acta Analysis Functionalis Applicata

基　　金：国家自然科学基金(10471075;10671167)

摘　　要：利用锥拉伸与压缩不动点定理,给出了四阶微分方程奇异边值问题C2[0,1]和C3[0,1]正解的存在性.The existence of two C^2[0,1] positive solutions as well as C^3[0,1] positive solutions is established for a singular boundary value problems of fourth order differential equations by using the fixed point theorem of cone expansion and cone compression of norm type.

关 键 词：四阶奇异边值问题 正解 不动点 

分 类 号：O175.8[理学—数学]