| 一类四阶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.一类四阶超线性奇异半正方程组正解的存在性[J].攀枝花学院学报,2009,26(3):72-77. |
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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四阶超线性奇异半正方程组在两点边值条件下正解的存在性结果.
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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 Fourth Order Superlinear Singular Semipositone Differential System |
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| WANG Feng,ZHANG Guo-Wei.Existence of Positive Solution for Fourth Order Superlinear Singular Semipositone Differential System[J].Journal of Panzhihua University,2009,26(3):72-77. |
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| Authors: | WANG Feng ZHANG Guo-Wei |
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| Institution: | 1 Yancheng College of Mechatronic Technology;Yancheng224005;China;2 Department of Mathematics;Northeastern University;Shenyang110004;China |
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| Abstract: | By transforming the problem of boundary value into the corresponding fixed-point problem of a completely continuous operator,the existence is obtained in the paper for two-point boundary value problem of fourth-order superlinear singular semipositone differential system via the fixed point theorem concerning cone compression and expansion in norm type. |
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| Keywords: | superlinear singular semipositone differential system positive solution fixed point theorem cone |
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