| 伸缩方程L_c~p解的讨论 |
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| 引用本文： | 刘春苔,向宇.伸缩方程L_c~p解的讨论[J].湖北民族学院学报(哲学社会科学版),2005(3). |
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| 作者姓名： | 刘春苔 向宇 |
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| 作者单位： | 华中师范大学数学与统计学学院，湖北民族学院理学院 湖北武汉430079，湖北民族学院理学院，湖北恩施445000，湖北恩施445000 |
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| 基金项目： | 国家自然科学基金创新项目. |
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| 摘 要： | 研究一般扩张矩阵伸缩方程Lcp解的性质,相同分形中的选代函数系统构造tile和tiling性质,克服了通用方法中的不足,得到了这类方程存在紧支撑解的充要条件,从而推广了有关的结果.
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| 关 键 词： | 伸缩方程 紧支撑解 迭代函数系统 扩张矩阵 |
L_c~p-solution of the Matrix Refinement Equation |
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| LIU Chun-tai,XIANG Yu.L_c~p-solution of the Matrix Refinement Equation[J].Journal of Hubei Institute for Nationalities(Natural Sciences),2005(3). |
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| Authors: | LIU Chun-tai XIANG Yu |
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| Institution: | LIU Chun-tai~1,XIANG Yu~2 |
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| Abstract: | In this paper, we discuss some characterization for the general extended matrix refinement equations and obtain the sufficient and necessary conditions of which L~p_c-solution exists. The basic technique here is to construct Tiling on Tile which gets over the difficulties in usual methods such as Fourier method and iteration method according to iterated function system of fractal and it has developed the general theorem for the study of the matrix erfinement equations. |
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| Keywords: | matrix refinement equation compact supported solution iter-ated function systems extended matrix |
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