| 三阶p-Laplace算子型四点边值问题的正解 |
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| 引用本文： | 孔祥山.三阶p-Laplace算子型四点边值问题的正解[J].科学技术与工程,2011,11(5):921-924. |
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| 作者姓名： | 孔祥山 |
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| 作者单位： | 山东师范大学数学科学学院,济南,250014 |
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| 摘 要： | 研究了三阶p-Lap lace算子型四点边值问题正解的存在性,所得的正解存在性结论依赖于参数,并且条件较为宽松,便于应用。通过构造一个特殊的锥,利用锥上的不动点指数理论,得到了正解存在的充分条件,推广和改进了已有的结果。最后给出例子说明主要结果的有效性。
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| 关 键 词： | 正解 p-Laplace算子 四点边值问题 不动点指数 |
| 收稿时间： | 2010/11/22 0:00:00 |
| 修稿时间： | 2010/12/3 0:00:00 |
On Positive Solutions for Third-order Four-point Boundary Value Problem with p-Laplace Operator |
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| kongxiangshan.On Positive Solutions for Third-order Four-point Boundary Value Problem with p-Laplace Operator[J].Science Technology and Engineering,2011,11(5):921-924. |
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| Authors: | kongxiangshan |
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| Institution: | KONG Xiang-shan,FAN Jin-jun(Department of Mathematics,Shandong Normal University,Jinan 250014,P.R.China) |
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| Abstract: | The existence of positive solutions for third-order four-point boundary value problem with p-Laplace operator is considered.The main results depend on a parameter,and the conditions are very relaxed.Therefore,it is very convinent to use the results.By constructing a special cone and applying the fixed point index in a cone,a sufficient condition is established.Our results improve on those in the literatures.Finally,an example is worked out to demonstrate our results. |
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| Keywords: | positive solution p-Laplace operator four-point boundary value problem fixed point index |
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