FAST GROWING SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS WITH MEROMORPHIC COEFFICIENTS

被引:0
作者
Kara, Mohamed Abdelhak [1 ]
Belaidi, Benharrat [1 ]
机构
[1] Univ Mostaganem UMAB, Dept Math, Lab Pure & Appl Math, Mostaganem 227, Algeria
来源
MEMOIRS ON DIFFERENTIAL EQUATIONS AND MATHEMATICAL PHYSICS | 2023年 / 89卷
关键词
Meromorphic function; phi-order; phi-type; phi-convergence exponent; GROWTH;
D O I
暂无
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
In this paper, we use the concept of phi-order to investigate under suitable conditions the growth and the oscillation of solutions of higher order linear differential equations with meromorphic coefficients on the complex plane. Many existing results due to Li-Cao, Hu-Zheng, Kara-Belaidi will be revisited and extended for the lower phi-order and the phi-convergence exponent.
引用
收藏
页码:99 / 114
页数:16
相关论文
共 25 条
[1]  
BANK SB, 1972, COMPOS MATH, V25, P61
[2]  
Belaidi B., 2019, J. Math. Appl., V42, P63
[3]  
Belaidi B., 2017, PanAmer. Math. J., V27, P26
[4]  
Belaidi B., 2015, Acta Univ. M. Belii, Ser. Math., V2015, P37
[5]  
Belaïdi B, 2009, ELECTRON J DIFFER EQ
[6]  
Belaïdi B, 2011, ELECTRON J DIFFER EQ
[7]   On the meromorphic solutions of linear differential equations on the complex plane [J].
Cao, Ting-Bin ;
Xu, Jun-Feng ;
Chen, Zong-Xuan .
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2010, 364 (01) :130-142
[8]   Estimates on the growth of meromorphic solutions of linear differential equations [J].
Chiang, YM ;
Hayman, WK .
COMMENTARII MATHEMATICI HELVETICI, 2004, 79 (03) :451-470
[9]  
Chyzhykov I, 2016, Математичний вісник Наукового товариства ім. Шевченка, V13, P68
[10]  
GUNDERSEN GG, 1988, T AM MATH SOC, V305, P415