| 一类Pointaré差分方程解的渐近性质 |
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| 引用本文： | 吴春青.一类Pointaré差分方程解的渐近性质[J].数学研究,1996(3). |
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| 作者姓名： | 吴春青 |
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| 作者单位： | 山东大学数学系 |
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| 摘 要： | 以二阶的情形讨论了Ｐｏｉｎｃａｒ差分方程ｙ（ｎ＋ｍ）十（ａ１＋ｐ１（ｍ））ｙ（ｎ＋ｍ－１）＋…＋（ａｎ＋ｐｎ（ｍ））ｙ（ｍ）＝０当其常系数部分ｘ（ｎ＋ｍ）＋ａ１ｘ（ｎ＋ｍ－１）＋…＋ａｎｘ（ｍ）＝０的特征方程有相同的根时，解的渐近性质．通过不动点方法给出了Ｐｏｉｎｃａｒ差分方程的解渐近于其常系数方程解的条件，并给出了渐近式高阶项的估计．
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| 关 键 词： | Poincar差分方程，渐近性质，不动点定理 |
Asymptotic Behavior of Solutions of Some Poincar Difference Equations |
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| Wu Chunqing.Asymptotic Behavior of Solutions of Some Poincar Difference Equations[J].Journal of Mathematical Study,1996(3). |
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| Authors: | Wu Chunqing |
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| Abstract: | In this paper we consider the asymptotic behavior of solutions of second order Poincare difference equations which have raal double roots Fixed point theorem is uese to obtain the main result. |
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| Keywords: | Poincar difference equations Asymptotic behavior Fixed point theorem |
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