| 向量函数强(弱)可导的判定与导函数连续的特征 |
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| 引用本文： | 陈德秀. 向量函数强(弱)可导的判定与导函数连续的特征[J]. 湖南师范大学自然科学学报, 1987, 0(2) |
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| 作者姓名： | 陈德秀 |
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| 作者单位： | 湖南师范大学数学系 |
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| 摘 要： | 本文提出了向量函数一阶强和弱一致连续等概念,建立了它们的简单性质。得到向量函数强、弱可导的四个判别定理以及强、弱导函数连续的两个充要条件。
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| 关 键 词： | 向量分析 Frechet空间 可微性 连续 一致连续/向量函数 |
DISCRIMINATION OF STRONG(WEAK)DIFFERENTIABILITY OF VECTOR FUNCTIONS AND CHARACTERISTIC OF CONTINUITY OF THEIR DERIVATIVES |
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| Chen Dexiu. DISCRIMINATION OF STRONG(WEAK)DIFFERENTIABILITY OF VECTOR FUNCTIONS AND CHARACTERISTIC OF CONTINUITY OF THEIR DERIVATIVES[J]. Journal of Natural Science of Hunan Normal University, 1987, 0(2) |
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| Authors: | Chen Dexiu |
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| Affiliation: | Chen Dexiu Department of Mathematics |
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| Abstract: | In this paper,concepts concerning 1-order strong and weak uniform continuityof vector functions are presented and accordingly,some simple properties are fou-nd.We obtain four discrimination theorems for strong and weak differentiabilityof vector functions,and two necessary and sufficient conditions of strong andweak continuity of derived vector functions. |
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| Keywords: | vector analysis Frechet space differentiable functions differentiablity uniformly continuous/vector functions |
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