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| 一类带一阶差分的离散问题解的存在性 | |
| 引用本文： | 章国庆,刘三阳. 一类带一阶差分的离散问题解的存在性[J]. 数学研究及应用, 2009, 29(5): 839-847. DOI: 10.3770/j.issn:1000-341X.2009.05.009 |
| 作者姓名： | 章国庆 刘三阳 |
| 作者单位： | 上海理工大学理学院, 上海 200093;西安电子科技大学应用数学系, 陕西 西安 710071 |
| 基金项目： | 国家自然科学基金(No.60574075); 上海市教委创新科学项目(No.08YZ93); 上海市重点学科项目(No.S30501). |
| 摘 要： | In this paper, we prove the existence of a positive solution and a negative solution for a class of second order difference equations with dependence on the first order difference. Our proofs are based on the Mountain Pass Lemma and iterative methods. |
| 关 键 词： | 一阶差分 离散问题 差分方程 迭代方法 山路引理 证明 二阶 正解 |
| 收稿时间： | 2007-06-20 |
| 修稿时间： | 2007-11-22 |
Existence Result for Discrete Problems with Dependence on the First Order Difference |
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| ZHANG Guo Qing and LIU San Yang. Existence Result for Discrete Problems with Dependence on the First Order Difference[J]. Journal of Mathematical Research with Applications, 2009, 29(5): 839-847. DOI: 10.3770/j.issn:1000-341X.2009.05.009 | |
| Authors: | ZHANG Guo Qing and LIU San Yang |
| Affiliation: | College of Sciences, University of Shanghai for Science and Technology, Shanghai 200093, China;College of Sciences, Xidian University, Shaanxi 710071, China |
| Abstract: | In this paper, we prove the existence of a positive solution and a negative solution for a class of second order difference equations with dependence on the first order difference. Our proofs are based on the Mountain Pass Lemma and iterative methods. |
| Keywords: | existence result the first order difference Mountain Pass Lemma iterative technique. |
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