| 一类二阶差分方程边值问题解的存在性 |
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| 引用本文： | 张克玉,徐家发.一类二阶差分方程边值问题解的存在性[J].数学杂志,2014,34(5):856-862. |
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| 作者姓名： | 张克玉 徐家发 |
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| 作者单位： | 齐鲁师范学院数学系;山东大学数学学院; |
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| 基金项目： | Supported by National Natural Science Foundation of China(10971046);the Project of Shandong Province Higher Educational Science and Technology Program(J09LA55);Graduate Independent Innovation Foundation of Shandong University(yzc12063) |
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| 摘 要： | 本文研究了一个二阶差分方程边值问题解的存在性问题.利用临界点理论和变分方法,获得了几个解的存在性结果,推广了一些现有的结果.
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| 关 键 词： | 差分方程 变分法 临界点理论 解 |
| 收稿时间： | 2012/12/13 0:00:00 |
| 修稿时间： | 2013/7/30 0:00:00 |
EXISTENCE OF SOLUTIONS FOR A SECOND ORDER DIFFERENCE BOUNDARY VALUE PROBLEM |
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| ZHANG Ke-yu and XU Jia-fa.EXISTENCE OF SOLUTIONS FOR A SECOND ORDER DIFFERENCE BOUNDARY VALUE PROBLEM[J].Journal of Mathematics,2014,34(5):856-862. |
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| Authors: | ZHANG Ke-yu and XU Jia-fa |
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| Institution: | Department of Mathematics, Qilu Normal University, Jinan 250013, China;School of Mathematics, Shandong University, Jinan 250100, China and School of Mathematics, Shandong University, Jinan 250100, China |
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| Abstract: | This paper studies the existence of solutions for a second order difference boundary value problem. Using critical point theory and variational method, some existence theorems of solutions are established. The results obtained here improve some existing results in the literature. |
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| Keywords: | difference equation variational method critical point theory solution |
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