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一类奇异超线性四阶微分方程边值问题的正解(英文)

Positive Solutions of a Class of Singular Superlinear Boundary Value Problems of Fourth Order Differential Equations
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摘要 本文研究一类奇异超线性四阶微分方程边值问题正解的存在性,通过构造一个特殊的锥,利用e-范数得到其C3[0,1]正解存在的充分必要条件. A necessary and sufficient condition for the existence of C^3[O,1] positive solutions are established for a superlinear singular boundary value problems of fourth order differential equations by constructing a special cone and with the e-Norm.
出处 《应用数学》 CSCD 北大核心 2008年第1期156-161,共6页 Mathematica Applicata
基金 the National Science Foundation of China(10671167)
关键词 奇异边值问题 正解 e-范数 Singular boundary value problem Positive solution e-Norm
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