| 含参数二阶差分方程多重解的存在性研究 |
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| 引用本文： | 杨戈锋.含参数二阶差分方程多重解的存在性研究[J].太原师范学院学报(自然科学版),2008,7(4):20-22. |
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| 作者姓名： | 杨戈锋 |
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| 作者单位： | 广东财经职业学院基础部,广东广州,510420 |
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| 摘 要： | 利用Ricceri建立的三临界点定理，证明了一类含参数二阶差分方程至少存在三个解．随后，利用临界点理论，讨论了一类离散边值问题的多重解的存在性．
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| 关 键 词： | 非线性差分方程 变分法 离散边值 |
Study of the Existence of Multiple Solution with Parameters Second-order Differential Equation |
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| Yang Gefeng.Study of the Existence of Multiple Solution with Parameters Second-order Differential Equation[J].Journal of Taiyuan Normal University:Natural Science Edition,2008,7(4):20-22. |
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| Authors: | Yang Gefeng |
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| Institution: | Yang Gefeng (Guangdong Finance and Economics College ,Guangzhou 510420,China) |
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| Abstract: | The existence of at least three weak solutions for discrete boundary value problem is established by using a three critical point theorem introduced by Ricceri.A complete novel assumption is presented.Then,we prove the existence of two nontrivial solutions for a class of second order superlinear difference systems with the help of Minimax principle and Linking theorem in critical point theory. |
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| Keywords: | non-linear differential equations calculus of variations discrete boundary |
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