| 一类二阶差分方程边值问题多个解的存在性 |
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| 引用本文： | 张国栋,孙红蕊.一类二阶差分方程边值问题多个解的存在性[J].西北师范大学学报,2010(6). |
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| 作者姓名： | 张国栋 孙红蕊 |
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| 作者单位： | 兰州大学数学与统计学院; |
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| 基金项目： | 国家自然科学基金资助项目(10801065); 甘肃省自然科学基金资助项目(0803RJZA096) |
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| 摘 要： | 运用Brezis和Rabinowitz建立的两个临界点定理获得了一类二阶差分方程在Dirichlet边值条件下多个解的存在性结果,并通过例子说明定理结论的有效性.
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| 关 键 词： | 差分方程 边值问题 多解 临界点 |
Existence of multipe solutions for a class of boundary value problem of second order difference equation |
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| ZHANG Guo-dong,SUN Hong-rui.Existence of multipe solutions for a class of boundary value problem of second order difference equation[J].Journal of Northwest Normal University Natural Science (Bimonthly),2010(6). |
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| Authors: | ZHANG Guo-dong SUN Hong-rui |
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| Institution: | ZHANG Guo-dong,SUN Hong-rui(School of Mathematics and Statistics,Lanzhou University,Lanzhou 730000,Gansu,China) |
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| Abstract: | By aid of two critical point theorems from Brezis and Rabinowitz respectively,two existence results of multiple solutions for a second order difference equations under Dirichlet boundary value conditions are obtained.An example is given to demonstrate effectiveness of our results. |
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| Keywords: | difference equation boundary value problom multiple solution critical point |
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