| 一类非齐次复微分方程解的增长性 |
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| 引用本文： | 蔡惠萍,陈金梅.一类非齐次复微分方程解的增长性[J].数学的实践与认识,2006,36(6):279-282. |
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| 作者姓名： | 蔡惠萍 陈金梅 |
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| 作者单位： | 石家庄学院数学系,河北石家庄050035 |
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| 摘 要： | 研究了一类线性非齐次微分方程f(k)+ak-1f(k-1)+…+a1f-′(eQ(z)-a0)f=eQ(z)+F(z)解的增长性,其中aj(j=0,1,…,k-1)为常数,Q(z)为非常数多项式,F(z)为级小于deg Q的整函数.
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| 关 键 词： | 非齐次微分方程 整函数 指数函数 增长级 |
| 修稿时间： | 2006年2月7日 |
The Growth of Solutions of Some Non-homogeneous Differential Equations |
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| CAI Hui-ping,CHEN Jin-mei.The Growth of Solutions of Some Non-homogeneous Differential Equations[J].Mathematics in Practice and Theory,2006,36(6):279-282. |
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| Authors: | CAI Hui-ping CHEN Jin-mei |
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| Abstract: | In this paper,we investigated the growth of solutions of f~((k))+a_(k-1)f~((k-1))+…+a_1f′-(e~(Q(z))-h_0)f=e~(Q(z))+F(z) where a_j(j=0,1,2,…,k-1) are constants,Q(z) is a non-constant polynomial,and F(z) is an entire function of order less than deg Q. |
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| Keywords: | non-homogeneous differential equation entire function order |
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