| 一类三阶三点非线性边值问题的正解 |
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| 引用本文： | 陈顺清. 一类三阶三点非线性边值问题的正解[J]. 四川师范大学学报(自然科学版), 2004, 27(4): 360-363 |
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| 作者姓名： | 陈顺清 |
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| 作者单位： | 达县师范高等专科学校,数学系,四川,达州,635000 |
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| 摘 要： | 利用锥的拉伸与压缩不动点定理,研究了一类含P-Laplacian算子的三阶三点非线性边值问题正解的存在性,将文献(ElecJDiffrqu,1999,34(1)：1～8;数学学报,2032,45(6)：1057～1064．)的工作向更高一阶推进,得到了新的结果．
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| 关 键 词： | 三阶三点边值问题 P-Laplacian算子 正解 锥 全连续算子 |
| 文章编号： | 1001-8395(2004)04-0360-04 |
| 修稿时间： | 2003-09-24 |
Positive Solutions for a Class of Third-order Three-point Nonlinear Boundary Value Problems |
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| CHEN Shun-qing. Positive Solutions for a Class of Third-order Three-point Nonlinear Boundary Value Problems[J]. Journal of Sichuan Normal University(Natural Science), 2004, 27(4): 360-363 |
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| Authors: | CHEN Shun-qing |
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| Abstract: | In the paper ,the existence of positive solutions of a third-order three-point nonlinear boundary value problems for P-Laplacian operator is discussed by using the fixed point theorem of cone expansion-compression type, and some new conclusions are yielded. |
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| Keywords: | Third-order three-point boundary value problems P-Laplacian operator Positive solutions Cone Completely continuous systems |
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