| 微分方程超越整函数解的增长 |
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| 引用本文： | 伍家凤.微分方程超越整函数解的增长[J].淮北煤炭师范学院学报(自然科学版),2004,25(2):7-9. |
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| 作者姓名： | 伍家凤 |
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| 作者单位： | 南京财经大学应用数学系,江苏,南京,210003 |
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| 摘 要： | 本文中我们讨论了下面的非线性代数微分方程P(z,f,f',…,f^(n))=O的整函数解的增长，其中n≥1是整数，p(z1,z2,…,zn 2)是一个多项式．紧接着我们将证明，如果p满足某些条件，则上述方程的超越整函数解具有无穷级。
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| 关 键 词： | 代数微分方程 超越整函数解 级 非线性 |
On the Growth of Transcendental Entire solutions of Differential Equations |
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| Abstract.On the Growth of Transcendental Entire solutions of Differential Equations[J].Journal of Huaibei Coal Industry Teachers College(Natural Science edition),2004,25(2):7-9. |
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| Authors: | Abstract |
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| Abstract: | In this paper,we will discuss the growth of entire solutions of the following nonlinear algebraic differential equation P(z,f,f ′ ,… ,f(n))=0 where n 1 is an integer, p(z1,z2,… ,zn＋ 2) is a polynomial. In what follows, we will prove that if psatisfies some conditions, then any transcendental entire solution of the above equation has infinite order of growth. |
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| Keywords: | algebraic differential equation transcendental entire solution ord er |
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