| 分式线性递归关系的周期解研究 |
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| 引用本文： | 赵天玉,连郁. 分式线性递归关系的周期解研究[J]. 长江大学学报, 2006, 0(10) |
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| 作者姓名： | 赵天玉 连郁 |
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| 作者单位： | 长江大学信息与数学学院 长江大学信息与数学学院 湖北荆州 湖北荆州 |
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| 摘 要： | 递归关系不仅在数学中有广泛应用,而且在计算机算法设计与分析中也有广泛应用。对一阶分式线性递归关系具有周期解的条件进行了详细讨论,得到若干有用的结论;对二、三阶分式线性递归关系,分别列举了一个具有周期解的例子,并对解的周期性进行了验证。
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| 关 键 词： | 分式线性递归关系 周期解 例子 数学归纳法 |
Fractional Linear Recursive Relation with Periodic Solution |
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| ZHAO Tian-yu,LIAN Yu. Fractional Linear Recursive Relation with Periodic Solution[J]. Journal of Yangtze University, 2006, 0(10) |
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| Authors: | ZHAO Tian-yu LIAN Yu |
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| Abstract: | Recursive relations have the extensive applications in mathematics and in designing and analyzing computer algorithms.The conditions with periodic solution are discussed in detail relating to fractional linear recursive relation of first order and some useful conclusions are obtained.In addition to those,an example with periodic solution is enumerated respectively relating to fractional linear recursive relations of second order and third order and the periodicity of the solution about the recursive relations is verified. |
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| Keywords: | fractional linear recursive relation periodic solution example mathematics inductive method |
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