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POSITIVE SOLUTIONS OF NONLINEAR FOURTH-ORDER SINGULAR BOUNDARY VALUE PROBLEMS

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【Author】 LüHaiyan (Dept.of Math.,Shandong University,Jinan 250100) Liu Yansheng (Dept.of Math.,Shandong Normal University,Jinan 250014)

【摘要】 <正>By constructing a special cone and using the fixed point theorem of cone expansion and compression,this paper investigates fourth-order singular boun- dary value problems with sublinear effect and presents some necessary and sufficient conditions for existence of C~2 or C~3 positive solutions.Further,some examples are given concerning the applications of our main results.更多还原

【Abstract】 By constructing a special cone and using the fixed point theorem of cone expansion and compression,this paper investigates fourth-order singular boun- dary value problems with sublinear effect and presents some necessary and sufficient conditions for existence of C~2 or C~3 positive solutions.Further,some examples are given concerning the applications of our main results.更多还原

【关键词】 boundary value problem； fixed point； positive solution； singularity； cone；
【Key words】 boundary value problem； fixed point； positive solution； singularity； cone；

【基金】 The project was supported by the NNSF of China (grant 10471077);Shandong Research funds for Young Scientist (grant 03BS094).

【文献出处】 Annals of Differential Equations ,微分方程年刊(英文版) , 编辑部邮箱 ,2007年03期

【分类号】O175.8
【下载频次】18

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