一类离散m点边值问题的正解 |
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引用本文: | 张启明,;张兴永.一类离散m点边值问题的正解[J].佳木斯工学院学报,2009(6):922-926. |
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作者姓名: | 张启明 ;张兴永 |
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作者单位: | [1]湖南工业大学理学院,湖南株洲412007; [2]中南大学数学科学与计算技术学院,湖南长沙410083 |
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基金项目: | 国家自然科学基金项目(10771215);湖南省教育厅一般资助项目(09C320). |
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摘 要: | 利用Krasnoselskii不动点定理,获得了一类离散m点边值问题存在至少一个正解的充分性条件,对已有文献中的一些结果进行了改进.
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关 键 词: | m点边值问题 正解 不动点 锥 |
Positive Solutions of a Discrete M-point Boundary Value Problem |
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Affiliation: | ZHANG Qi-ming,ZHANG Xing-yong (1.College of Science,Hunan University of Technology,Zhuzhou 412007,China;2.School of Mathematical Science and Computing Technology,Central South University,Changsha 410083,China) |
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Abstract: | By using the Krasnoselskii fixed-point theorem,some sufficient conditions under which a class of discrete m-point boundary value problem has at least one positive solution were obtained.The results improved those in known literatures. |
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Keywords: | m-point boundary value problem positive solution fixed-point theorem cone |
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