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一类微分方程的解及其解的导数与不动点的关系
引用本文:金瑾,石宁生.一类微分方程的解及其解的导数与不动点的关系[J].数学的实践与认识,2011,41(22).
作者姓名:金瑾  石宁生
作者单位:1. 毕节学院 数学系,贵州 毕节,551700
2. 毕节学院 教育系,贵州 毕节,551700
基金项目:贵州省科学技术基金(2010GZ43286); 贵州省教育厅科研基金(2007079)
摘    要:研究了一类亚纯系数微分方程的复振问题,通过应用亚纯函数的分解和模的增长估计,得到了该类方程的级的精确估计,同时对方程的解及其一阶导数与不动点间的关系进行了研究,指出由于受到微分方程的制约,该类方程的不动点密度与解的增长性有着密切的关系.

关 键 词:微分方程    亚纯函数  不动点  收敛指数

The Relation Between Solutions of a Claas of Differential Equation and the Derivatives of Solutions with the Fixed Points
JIN Jin,SHI Ning-sheng.The Relation Between Solutions of a Claas of Differential Equation and the Derivatives of Solutions with the Fixed Points[J].Mathematics in Practice and Theory,2011,41(22).
Authors:JIN Jin  SHI Ning-sheng
Institution:JIN Jin~1,SHI Ning-sheng~2 (1.Mathematics Department of Bijie University,Bijie 551700,China) (2.Education Science Department of Bijie University,China)
Abstract:We investigate the complex oscillation os a class of differential equation with momorphic coefficients.By using the factorization of Mromorphic function and the geowth estimation of the odual,we obtain precise estimation of the order of growth of solutions of the equations.And investigates the relation between solutions of a claas of differential equation and the 1th derivatives of a claas of linear differential equations with the fixed points.Due to the control of the differential equations,the properties ...
Keywords:diferential equation  the order of growth  mromorphic function  fixed points  eponent of convergence  
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