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某类差分方程亚纯解的增长性

GROWTH OF MEROMORPHIC SOLUTIONS OF CERTAIN DIFFERENCE EQUATIONS
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摘要 本文研究了某类差分方程的亚纯解的增长性问题及不存在可允许超越亚纯解的条件.运用Nevanlinna理论的基本方法,得到了当p(z)为多项式时此类差分方程亚纯解的级与下级的估计,并给出了一些例子说明这些结果是精确的. In this paper,we investigate order of growth of meromorphic solutions and non-existence of admissible transcendental solutions of some difference equations.Using Nevanlinna basic theory,we estimate the order and lower-order of meromorphic solutions when p（z） is polynomial.Some examples are also given to show that results are sharp.
作者 陈美茹 陈裕先 陈宗煊
机构地区 华南师范大学数学科学学院 新余学院数学与计算机科学学院
出处 《数学杂志》 CSCD 北大核心 2012年第6期1075-1082,共8页 Journal of Mathematics
基金 江西省教育厅科技项目基金(GJJ11640)
关键词 差分方程 亚纯解 增长级 difference equation meromorphic solution order of growth
分类号 O175.29 [理学—基础数学]
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参考文献12

  • 1Hayman W K. Meromorphic functions [M]. Oxford: Clarendon Press, 1964.
  • 2Laine I. Nevanlinna theorey and complex differential equations [M]. Berlin: Walter de Gruyter, 1993.
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二级参考文献20

  • 1Chen Zongxuan(Dept of Math,Jiangxi Normal Univ)Nanchang.ON OSCILLATION THEOREMS FOR HIGHER ORDER DIFFERENTIAL EQUATIONS[J].数学研究,1994,27(1):56-59. 被引量：3
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  • 10Halburd R. G. and Korhonen R. J., Difference analogue of the lemma on the logarithmic derivative with applications to difference equations [J], J. Math. Anal. Appl., 2006, 314:477- 487.

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数学杂志
2012年 第6期

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