| 一类四阶三点奇异边值问题正解存在的充分必要条件 |
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| 引用本文： | 徐海燕,刘伟.一类四阶三点奇异边值问题正解存在的充分必要条件[J].聊城大学学报(自然科学版),2006,19(4):21-23,34. |
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| 作者姓名： | 徐海燕 刘伟 |
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| 作者单位： | 1. 曲阜师范大学,数学科学学院,山东,曲阜,273165
2. 临沂师范学院,数学系,山东,临沂,276000 |
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| 摘 要： | 利用锥拉伸压缩不动点定理得到四阶三点边值问题在非线形项同超线性，或一次线性一超线性情况下，有C^20，1]和C^30，1]正解的充分必要条件．
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| 关 键 词： | 三点奇异边值问题 正解 锥 |
| 文章编号： | 1672-6634（2006）04-0021-03 |
| 收稿时间： | 2006-08-16 |
| 修稿时间： | 2006-08-16 |
A Necessary and Sufficient Condition for theExistence of Positive Solutions for a Nonlinear Forth Order Three-point Boundary Walue Problem |
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| XU Hai-yan,LIU Wei.A Necessary and Sufficient Condition for theExistence of Positive Solutions for a Nonlinear Forth Order Three-point Boundary Walue Problem[J].Journal of Liaocheng University:Natural Science Edition,2006,19(4):21-23,34. |
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| Authors: | XU Hai-yan LIU Wei |
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| Institution: | 1.Departrnent of Mathematics,Qufu Normal University,Qufu 273165 ,China;2.Department of Mathernatics,Linyi Normal University,Linyi 276000,China |
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| Abstract: | The existence of positive solutions for singular fourth order three-point boundary value problem was investigated. A neceessary and sufficient condition for the existence of C^2 0, 1], C^3 -0,1] positive solutions is obtained under the condition that nonlinear item are all superlinear or one is superlinear, another is sublinear by constructing with fixed point theorem of cone expansion and compression. |
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| Keywords: | three-point boundary value problem positive solution cone |
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