| 一类具有优化调整状态的供应链系统解的适定性和正则性 |
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| 引用本文： | 杨丽丽,张玲玲,郭丽娜.一类具有优化调整状态的供应链系统解的适定性和正则性[J].数学的实践与认识,2014(9). |
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| 作者姓名： | 杨丽丽 张玲玲 郭丽娜 |
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| 作者单位： | 太原理工大学数学学院; |
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| 基金项目： | 国家自然科学基金(61250011);山西省自然科学基金(2012011004-4);山西省自然科学青年基金(2012021015-5) |
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| 摘 要： | 主要研究了一类具有优化调整状态的供应链系统解的适定性及正则性问题,利用不动点定理证明了解的局部存在唯一性,用一致先验估计及等高延拓得到了解的整体存在唯一性,最后讨论了依赖模型初值的解的连续性,并且给出解的C~1连续性.
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| 关 键 词： | 供应链系统 不动点定理 局部解 整体解 解的正则性 |
Well-posedness and Regularity of the Solution of a Supply Chain System with Optimal Adjustment |
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| Abstract: | This paper considers a supply chain system model with optimal adjustment.The well-posedness and regularity of the system solution are discussed.Specifically,the existence and uniqueness of the local solution is studied by using fixed point theory and then the unique existence of the global solution is obtained by a uniform priori estimate,and the continuous dependence of the model solution on its initial value is also studied.Moreover,the regularity or the C~1 continuity of the system solution is presented at the end of the paper. |
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| Keywords: | supply chain system fixed point theory local solution global solution regularity of solution |
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