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四阶奇异边值问题两个正解的存在性 被引量：1

The Existence of Two Positive Solutions of Fourth-order Singular Boundary Value Problems
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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.
作者 王春梅 张克梅 邢美红
机构地区 曲阜师范大学数学科学学院
出处 《应用泛函分析学报》 CSCD 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)
关键词 四阶奇异边值问题 正解 不动点 fourth order singular boundary value problem positive solutions fixed point
分类号 O175.8 [理学—基础数学]
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参考文献10

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二级参考文献53

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应用泛函分析学报
2008年 第1期

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