Growth and Uniqueness Related to Complex Differential and Difference Equations

被引：29

作者：

Lue, Feng ^{[1
]}

Lue, Weiran ^{[1
]}

Li, Cuiping ^{[1
]}

Xu, Junfeng ^{[2
]}

机构：

[1] China Univ Petr, Coll Sci, Qingdao 266580, Shandong, Peoples R China

[2] Wuyi Univ, Dept Math, Jiangmen 529020, Guangdong, Peoples R China

来源：

RESULTS IN MATHEMATICS | 2019年 / 74卷 / 01期

关键词：

Meromorphic solution; bruck conjecture; differential and difference equation; growth; uniqueness; 30D35; 39A10;

D O I：

10.1007/s00025-018-0945-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we consider the growth of entire solutions of differential-difference equations of certain types. We also consider the growth of meromorphic solutions of complex linear difference equations of certain types and derive a result, which is a supplement of previous theorems given by Chen (J Math Anal Appl 373:235-241, 2011). Our additional purpose is to give a difference analogues of Bruck conjecture, which is a joint theorem of some previous theorems.

引用

页数：18

共 18 条

[1]

[Anonymous], 1981, J FAC SCI U TOKYO IA

[2]

[Anonymous], 1980, Funkcial. Ekvac.

[3]

Bellman R., 1963, Differential-difference equations

[4] Zeros of differences of meromorphic functions [J].

Bergweiler, Walter .

MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY, 2007, 142 :133-147

[5]

Brck R., 1996, Results Math, V30, P21, DOI [10.1007/BF03322176, DOI 10.1007/BF03322176]

[6] ENTIRE FUNCTIONS AND THEIR HIGHER ORDER DIFFERENCES [J].

Chen, Chuang-Xin ;

Chen, Zong-Xuan .

TAIWANESE JOURNAL OF MATHEMATICS, 2014, 18 (03) :711-729

[7] 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

[8] On the Nevanlinna characteristic of f(z+η) and difference equations in the complex plane [J].

Chiang, Yik-Man ;

Feng, Shao-Ji .

RAMANUJAN JOURNAL, 2008, 16 (01) :105-129

[9] ON THE GROWTH OF LOGARITHMIC DIFFERENCES, DIFFERENCE QUOTIENTS AND LOGARITHMIC DERIVATIVES OF MEROMORPHIC FUNCTIONS [J].

Chiang, Yik-Man ;

Feng, Shao-Ji .

TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2009, 361 (07) :3767-3791

[10]

Elaydi S., 2005, An Introduction To Difference Equations

← 1 2 →