| 一类三阶边值问题单调迭代解的存在性 |
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| 引用本文： | 邹序焱,陈世群. 一类三阶边值问题单调迭代解的存在性[J]. 重庆文理学院学报(自然科学版), 2011, 30(5): 19-21 |
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| 作者姓名： | 邹序焱 陈世群 |
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| 作者单位： | 宜宾学院数学学院,四川宜宾,644007 |
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| 摘 要： | 研究了一类三阶边值问题,在边值问题不要求有上下解存在的情况下,应用单调迭代技术给出了边值问题存在正解的充分条件,且从简单的函数出发构建出函数序列,使它趋近于边值问题的正解.
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| 关 键 词： | 边值问题 正解 Leggett-Williams不动点理论 |
The existence of iterative solution of a class of third order boundary value |
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| Abstract: | A kind of three order boundary value problem was studied.Without requiring the existence of lower and upper solutions,by applying monotone iterative techniques,not only the existence of positive solutions were obtained,but also iterative schemes for approximating the solutions were established. |
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| Keywords: | boundary value problem positive solution Leggett-Williams fixed point theorem |
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