The Existence and Growth of Solutions for Several Systems of Complex Nonlinear Difference Equations

被引：11

作者：

Xu, Hong Yan ^{[1
,2
]}

Liu, San Yang ^{[1
]}

Li, Qiao Ping ^{[1
]}

机构：

[1] Xidian Univ, Sch Math & Stat, Xian 710126, Shaanxi, Peoples R China

[2] Jingdezhen Ceram Inst, Dept Informat & Engn, Jingdezhen 333403, Jiangxi, Peoples R China

来源：

MEDITERRANEAN JOURNAL OF MATHEMATICS | 2019年 / 16卷 / 01期

基金：

中国国家自然科学基金;

关键词：

System; growth; existence; meromorphic function; MEROMORPHIC SOLUTIONS;

D O I：

10.1007/s00009-018-1296-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This article is devoted to investigate some properties of solutions for several systems of complex differential-q-difference equations. Some results about the existence and the estimate for the growth of solutions for a series of systems of q-difference-differential equations are obtained. Moreover, it is a very satisfactory fact that some examples are given to illustrate the existence of solutions for such systems in each case of some results.

引用

页数：30

共 37 条

[1]

[Anonymous], 2002, Aequationes Math.

[2]

[Anonymous], 1998, Methods Appl. Anal.

[3]

[Anonymous], COMPUT METHODS FUNCT

[4]

[Anonymous], [No title captured]

[5]

BANK SB, 1972, COMPOS MATH, V25, P61

[6]

Barnett DC, 2007, P ROY SOC EDINB A, V137, P457, DOI 10.1017/S0308210506000102

[7] Entire Solutions of f(kz) = kf(z)f′(z) [J].

Beardon, Alan F. .

COMPUTATIONAL METHODS AND FUNCTION THEORY, 2012, 12 (01) :273-278

[8]

Chen MF, 2017, ADV DIFFER EQU, V37, P1

[9] Existence of entire solutions of some non-linear differential-difference equations [J].

Chen, Minfeng ;

Gao, Zongsheng ;

Du, Yunfei .

JOURNAL OF INEQUALITIES AND APPLICATIONS, 2017,

[10] Growth and zeros of meromorphic solution of some linear difference equations [J].

Chen, Zong-Xuan .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 373 (01) :235-241

← 1 2 3 4 →