| 一类超线性奇异半正方程组正解的存在性 |
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| 引用本文： | 王峰,张国伟.一类超线性奇异半正方程组正解的存在性[J].淮阴师范学院学报(自然科学版),2009,8(2):96-102,107. |
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| 作者姓名： | 王峰 张国伟 |
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| 作者单位： | 1. 盐城机电高等职业技术学院,江苏,盐城,224005
2. 东北大学,数学系,辽宁,沈阳,110004 |
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| 摘 要： | 通过把所研究的问题转化为相应的全连续算子的不动点问题,利用范数形式的锥拉伸与锥压缩不动点定理得出了一类二阶超线性奇异半正方程组在m点边值条件下正解的存在性结果,并给出了一个例子作为对所获结果的应用.
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| 关 键 词： | 超线性奇异半正方程组 正解 不动点定理 锥 |
Existence of Positive Solution for A Superlinear Semipositone Singular Differential System |
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| WANG Feng,ZHANG Guo-wei.Existence of Positive Solution for A Superlinear Semipositone Singular Differential System[J].Journal of Huaiyin Teachers College(Natrual Science Edition),2009,8(2):96-102,107. |
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| Authors: | WANG Feng ZHANG Guo-wei |
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| Abstract: | By transforming the boundary value problem into the corresponding fixed-point problem of a completely continuous operator,the existence is obtained in the paper for m-point boundary value problem of second-order superlinear singular semipositone differential system via the fixed point theorem concerning cone compression and expansion in norm type.One example is presented to illustrate the application of the obtained results. |
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| Keywords: | superlinear singular semipositone differential system positive solution fixed point theorem cone |
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