On the transcendental solutions of a certain type of nonlinear differential equations
On the transcendental solutions of a certain type of nonlinear differential equations
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DOI：
10.1007/s00013-003-4796-8
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发表时间：
2004-05
影响因子：
0.6
通讯作者：
Chung-Chun Yang;Ping Li
中科院分区：
文献类型：
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作者：
Chung-Chun Yang;Ping Li
本文利用Nevanlinna值分布理论研究了满足如下形式的微分方程的超越亚纯函数f(Z)的可解性，其中L(F)表示线性微分多项式，a(Z)和b(Z)是非零小函数Of(Z)。作为应用，这里开发的方法可以用于，例如，获得非线性微分方程解的全部
In this paper, we shall utilize Nevanlinna value distribution theory to study the solvability of transcendental meromorphic functionf(z) that satisfies the differential equations of the form:, whereL(f) denotes a linear differential polynomial inf, a(z) andb(z) are nonzero small functions off(z). As an application, the method developed here can be used, for instance, to obtain all the entire solutions of the nonlinear differential equation