一类非线性微分方程亚纯解的若干结果

IF 0.6 4区数学 Q3 MATHEMATICS

Bulletin of the Korean Mathematical Society Pub Date : 2020-01-01 DOI:10.4134/BKMS.B190535

Nan Li, Lian-Zhong Yang

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引用次数: 0

摘要

在本文中,我们研究非线性微分方程的超越亚纯解fnf (k) + Qd∗(z, f) = R (z) eα(z)和fnf (k) + Qd (z, f) = p1 (z) eα1 (z) + p2 (z) e2, Qd∗(z, f)和Qd (z, f)微分多项式与小函数系数f,学位d∗(≤n−1)和d(≤n−2)分别R, p1, p2 non-vanishing小f的函数,和α,α1,α2非常数的全部功能。特别地，我们给出了这类亚纯解存在的条件和它们的可能形式。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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SOME RESULTS ON MEROMORPHIC SOLUTIONS OF CERTAIN NONLINEAR DIFFERENTIAL EQUATIONS

In this paper, we investigate the transcendental meromorphic solutions for the nonlinear differential equations fnf (k) + Qd∗ (z, f) = R(z)eα(z) and fnf (k) + Qd(z, f) = p1(z)e α1(z) + p2(z)e2, where Qd∗ (z, f) and Qd(z, f) are differential polynomials in f with small functions as coefficients, of degree d∗ (≤ n − 1) and d (≤ n − 2) respectively, R, p1, p2 are non-vanishing small functions of f , and α, α1, α2 are nonconstant entire functions. In particular, we give out the conditions for ensuring the existence of these kinds of meromorphic solutions and their possible forms of the above equations.

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来源期刊

Bulletin of the Korean Mathematical Society 数学-数学

CiteScore

0.80

自引率

20.00%

发文量

审稿时长

6 months

期刊介绍： This journal endeavors to publish significant research of broad interests in pure and applied mathematics. One volume is published each year, and each volume consists of six issues (January, March, May, July, September, November).