Meromorphic solution of a class of non-linear differential equations with sharing one value

被引：0

作者：

Siddheshwar, P. G. ^{[1
]}

Adaviswamy, Tanuja ^{[2
]}

Bhoosnurmath, Subhas S. ^{[3
]}

Barki, Mahesh ^{[3
]}

机构：

[1] Bangalore Univ, Dept Math, Jnana Bharathi Campus, Bangalore 560056, Karnataka, India

[2] Siddaganga Inst Technol, Dept Math, Tumkur 572103, India

[3] Karnatak Univ, Dept Math, Dharwad 580003, Karnataka, India

来源：

JOURNAL OF ANALYSIS | 2020年 / 28卷 / 02期

关键词：

Complex differential equations; Nevanlinna theory; Meromorphic functions; Riccati; Abel; Bernoulli; Ginzburg-Landau; Jacobi elliptic equation; 30D35;

D O I：

10.1007/s41478-019-00176-2

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Here we report the finding of the meromorphic solution of a general differential equation which is in the form G((i)) = Sigma(j)(k)=0 c(k)G(k), where c0,c1,...,cj not equivalent to 0 are small functions of G. The results concerning Linear, Riccati, Abel, Bernoulli, Ginzburg-Landau and Jacobi elliptic differential equations are obtained as special ones of the present study. Differential equations with transcendental nonlinearity are shown to be also covered by the present general study.

引用

页码：415 / 430

页数：16

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