| 关于一类迭代方程的解 |
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| 引用本文： | 宋威,张晓莉,袁媛.关于一类迭代方程的解[J].大连民族学院学报,2009,11(1). |
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| 作者姓名： | 宋威 张晓莉 袁媛 |
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| 作者单位： | 哈尔滨工业大学,数学系,黑龙江,哈尔滨,150001 |
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| 基金项目： | 哈尔滨工业大学理学研究基金 |
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| 摘 要： | 受多项式型迭代方程研究的影响,利用Schauder不动点定理和Banach压缩映像原理,探讨了一类较一般的迭代方程的非单调解和递减解,给出了存在解的条件,并讨论了解的唯一性和稳定性.所得结论推广了已有文献中的工作.
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| 关 键 词： | 迭代方程 单调性 存在性 唯一性 稳定性 |
Solutions of a kind of Iterative Equations |
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| SONG Wei,ZHANG Xiao-li,YUAN Yuan.Solutions of a kind of Iterative Equations[J].Journal of Dalian Nationalities University,2009,11(1). |
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| Authors: | SONG Wei ZHANG Xiao-li YUAN Yuan |
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| Institution: | SONG Wei,ZHANG Xiao-li,YUAN Yuan(Department of Mathematics,Harbin Institute of Technology,Harbin Heilongjiang 150001,China) |
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| Abstract: | Inspired by the researches on polynomial iterative equations,by means of Schauder Fixed Point Theorem and Banach Contraction Principle,the non-monotonic solutions and the decreasing solutions of a more general kind of iterative equations are discussed.The existence conditions of these solutions are given and the uniqueness and stability of such solutions are also discussed.The results generalize the previous work. |
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| Keywords: | iterative equation monotonicity existence uniqueness stability |
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