Growth of meromorphic solutions of certain types of q -difference differential equations

Advances in Difference Equations

Zongsheng Gao¹  Minfeng Chen¹  Yeyang Jiang² 

[1] LMIB and School of Mathematics and Systems Science, Beihang University, Beijing, P.R. China;School of Mathematics and Computer, Jiangxi Science and Technology Normal University, Nanchang, P.R. China

关键词: Nevanlinna theory;    meromorphic solutions;    q-difference and differential equations;    growth order;    30D35;    34M05;    39B32;   

DOI  :  10.1186/s13662-017-1072-y

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, relying on Nevanlinna theory of the value distribution of meromorphic functions, we mainly study meromorphic solutions of certain types of q-difference differential equations, obtain estimates of the growth order of their meromorphic solutions, and give a number of examples to show what our results are the best possible in certain senses. Improvements and extensions of some results in the literature are presented.

【 授权许可】

CC BY