| 时间标度上的Taylor公式及链式法则 |
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| 引用本文： | 詹再东,韦维.时间标度上的Taylor公式及链式法则[J].数学的实践与认识,2010,40(7). |
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| 作者姓名： | 詹再东 韦维 |
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| 作者单位： | 贵州大学,数学系,贵州,贵阳,550025 |
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| 基金项目： | 国家自然科学基金“时标动力系统的最优控制”(10661004) |
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| 摘 要： | 致力于研究时间标度上二元函数的链式法则,以期其在最优控制上有广泛的应用.同时,对一元函数的泰勒公式给出一种新的较为简单的证明方法.
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| 关 键 词： | 时间标度 Taylor公式 链式法则 全△可微 |
Taylor's Formula and Chain Rules On Time Scales |
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| ZHAN Zai-dong,WEI Wei.Taylor's Formula and Chain Rules On Time Scales[J].Mathematics in Practice and Theory,2010,40(7). |
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| Authors: | ZHAN Zai-dong WEI Wei |
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| Institution: | ZHAN Zai-dong,WEI Wei (Department of Mathematics,Guizhou University,Guizhou 550025,China) |
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| Abstract: | In this paper we devote to the study of chain rule of bivariate function on time scales,which will be expected to be extensively used in optimal control.Meanwhile,we will also propose a new and comparatively simple approach for Taylor's Formula. |
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| Keywords: | Time scales Taylor\'s formula chain rule completely delta differentiable |
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