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二阶离散边值问题的一个存在性定理(英文) 被引量：1

AN EXISTENCE THEOREM FOR SECOND ORDER DISCRETE BOUNDARY VALUE PROBLEMS
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摘要 作者利用监界点理论中的山路引理研究了一类非线性二阶差分方程边值问题解的存在性,获得了该边值问题有解的一个充分条件. This article is concerned with the existence of solutions of boundary value problem for a class of nonlinear second-order difference equations. The author apply the Mountain Pass Lemma in the critical point theory and give a new result for the existence of solutions for this boundary value problem.
作者 蔡晓春
机构地区 湖南大学统计学院
出处 《经济数学》 2005年第2期208-214,共7页 Journal of Quantitative Economics
基金 Thisprojectissupportedbyspecializedresearchfundforthedoctoralprogramofhighereducation.(No.2002053014)
关键词 非线性差分方程 山路引理 边值条件 离散边值问题 二阶差分方程 存在性定理 解的存在性 非线性 界点 Nonlinear difference equations, The Mountain Pass Lemma, Boundary value conditions.
分类号 O175.8 [理学—基础数学] O175.7 [理学—基础数学]
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参考文献21

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经济数学
2005年 第2期

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