| p-Laplace方程三点边值问题解的存在性 |
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| 引用本文： | 张建军,刘文斌,陈太勇,胡志刚.p-Laplace方程三点边值问题解的存在性[J].徐州师范大学学报(自然科学版),2006,24(1):31-35. |
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| 作者姓名： | 张建军 刘文斌 陈太勇 胡志刚 |
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| 作者单位： | 中国矿业大学,理学院,江苏,徐州,221008 |
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| 基金项目： | 中国矿业大学青年科研基金(A200403)，中国矿业大学基础科学预研基金(A03-06) |
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| 摘 要： | 利用度理论研究了p-Laplace方程(φp(u′))′=f(t,u,u′)非共振情形下的三点边值问题解的存在性,得到了两个解存在的充分条件,从而推广和改进了一些已有的结果.
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| 关 键 词： | p-Laplace方程 三点边值 非共振 度理论 |
| 文章编号： | 1007-6573(2006)01-0031-05 |
| 收稿时间： | 06 9 2005 12:00AM |
| 修稿时间： | 2005年6月9日 |
The Existence of Solutions for p-Laplace Equations Subject to Three-point Boundary Value Problem |
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| ZHANG Jian-Jun,LIU Wen-bin,CHEN Tai-yong,HU Zhi-gang.The Existence of Solutions for p-Laplace Equations Subject to Three-point Boundary Value Problem[J].Journal of Xuzhou Normal University(Natural Science Edition),2006,24(1):31-35. |
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| Authors: | ZHANG Jian-Jun LIU Wen-bin CHEN Tai-yong HU Zhi-gang |
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| Institution: | Department of Mathematics, China University of Mining and Technology, Xuzhou, Jiangsu, 221008, China |
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| Abstract: | In this paper,the existence of solutions for pL aplace equations subject to three-point boundary value problem at non-resonanc e is studied by using degree theory,and two sufficient conditions are obtained.Some known results are improved. |
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| Keywords: | p-Laplace equation three-point boundary value non-resonance degree theory |
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