| 具积分初值条件的$p$-Laplacian 方程解的存在性 |
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| 引用本文： | 宋文晶,高文杰.具积分初值条件的$p$-Laplacian 方程解的存在性[J].数学研究及应用,2011,31(4):649-654. |
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| 作者姓名： | 宋文晶 高文杰 |
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| 作者单位： | 吉林大学数学学院, 吉林 长春 130012; 吉林财经大学数学与应用数学学院, 吉林 长春 130017;吉林大学数学学院, 吉林 长春 130012 |
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| 基金项目： | 国家自然科学基金(Grant No.10771085)和吉林大学"985工程"项目. |
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| 摘 要： | In this paper, a class of one-dimension p-Laplacian equation with nonlocal initial value is studied. The existence of solutions for such a problem is obtained by using the topological degree method.
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| 关 键 词： | integral initial condition existence topological degree |
| 收稿时间： | 2009/11/6 0:00:00 |
| 修稿时间： | 2010/4/26 0:00:00 |
Existence of Solutions to a $p$-Laplacian Equation with Integral Initial Condition |
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| Wen Jing SONG and Wen Jie GAO.Existence of Solutions to a $p$-Laplacian Equation with Integral Initial Condition[J].Journal of Mathematical Research with Applications,2011,31(4):649-654. |
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| Authors: | Wen Jing SONG and Wen Jie GAO |
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| Institution: | 1. Institute of Mathematics, Jilin University, Jilin, 130012, P.R.China;Institute of Applied Mathematics, Jilin University of Finance and Economics, Jilin, 130017, P.R.China
2. Institute of Mathematics, Jilin University, Jilin, 130012, P.R.China |
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| Abstract: | In this paper, a class of one-dimension $p$-Laplacian equation with nonlocal initial value is studied. The existence of solutions for such a problem is obtained by using the topological degree method. |
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| Keywords: | integral initial condition existence topological degree |
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