Growth on Meromorphic Solutions of Non-linear Delay Differential Equations

被引：4
|
作者：
Hu, Pei-Chu [1 ]
Wang, Qiong-Yan [1 ]
机构：
[1] Shandong Univ, Dept Math, Jinan 250100, Shandong, Peoples R China
来源：
BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN | 2019年 / 26卷 / 01期
关键词：
Delay differential equation; Hyper-order; Meromorphic solution; Nevanlinna theory;
D O I：
10.36045/bbms/1553047233
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
By using Nevanlinna theory and linear algebra, we show that the number one is a lower bound of the hyper-order of any meromorphic solution of a non-linear delay differential equation under certain conditions.
引用
收藏
页码：131 / 147
页数：17
相关论文
共 50 条
  • [21] MEROMORPHIC SOLUTIONS OF SOME COMPLEX NON-LINEAR DIFFERENCE EQUATIONS
    Qi, X. -G.
    Yang, L. -Z.
    ANALYSIS MATHEMATICA, 2021, 47 (02) : 405 - 419
  • [22] Growth on Meromorphic Solutions of Differential–Difference Equations
    Qiongyan Wang
    Guoping Zhan
    Peichu Hu
    Bulletin of the Malaysian Mathematical Sciences Society, 2020, 43 : 1503 - 1515
  • [23] MEROMORPHIC SOLUTIONS OF SOME NON-LINEAR DIFFERENCE EQUATIONS WITH THREE EXPONENTIAL TERMS
    Chen, Min-feng
    Gao, Zong-sheng
    Huang, Xiao-min
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2024, 61 (03) : 745 - 762
  • [24] GROWTH OF MEROMORPHIC SOLUTIONS TO HOMOGENEOUS AND NON-HOMOGENEOUS LINEAR (DIFFERENTIAL-)DIFFERENCE EQUATIONS WITH MEROMORPHIC COEFFICIENTS
    Zhou, Yan-Ping
    Zheng, Xiu-Min
    ELECTRONIC JOURNAL OF DIFFERENTIAL EQUATIONS, 2017,
  • [25] VALUE DISTRIBUTION OF MEROMORPHIC SOLUTIONS OF CERTAIN NON-LINEAR DIFFERENCE EQUATIONS
    Chen, Minfeng
    Gao, Zongsheng
    Zhang, Jilong
    ACTA MATHEMATICA SCIENTIA, 2019, 39 (04) : 1173 - 1184
  • [26] Meromorphic solutions of some non-linear q-difference equations
    Dyavanal, Renukadevi S.
    Muttagi, Jyoti B.
    Shilpa, N.
    TBILISI MATHEMATICAL JOURNAL, 2020, 13 (03) : 53 - 62
  • [27] VALUE DISTRIBUTION OF MEROMORPHIC SOLUTIONS OF CERTAIN NON-LINEAR DIFFERENCE EQUATIONS
    陈敏风
    高宗升
    张继龙
    Acta Mathematica Scientia, 2019, 39 (04) : 1173 - 1184
  • [28] Value Distribution of Meromorphic Solutions of Certain Non-Linear Difference Equations
    Minfeng Chen
    Zongsheng Gao
    Jilong Zhang
    Acta Mathematica Scientia, 2019, 39 : 1173 - 1184
  • [29] Meromorphic solutions of three certain types of non-linear difference equations
    Chen, Min Feng
    Huang, Zhi Bo
    Gao, Zong Sheng
    AIMS MATHEMATICS, 2021, 6 (11): : 11708 - 11722
  • [30] Growth on Meromorphic Solutions of Differential-Difference Equations
    Wang, Qiongyan
    Zhan, Guoping
    Hu, Peichu
    BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, 2020, 43 (02) : 1503 - 1515
12345