| Title:
|
On the growth of entire solution of a nonlinear differential equation (English) |
| Author:
|
Lahiri, Indrajit |
| Author:
|
Das, Shubhashish |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
145 |
| Issue:
|
3 |
| Year:
|
2020 |
| Pages:
|
325-336 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In the paper we consider the growth of entire solution of a nonlinear differential equation and improve some existing results. (English) |
| Keyword:
|
entire function |
| Keyword:
|
nonlinear differential equation |
| Keyword:
|
growth of entire solution |
| MSC:
|
30D15 |
| MSC:
|
30D35 |
| MSC:
|
34A34 |
| idZBL:
|
07250713 |
| idMR:
|
MR4221837 |
| DOI:
|
10.21136/MB.2019.0105-18 |
| . |
| Date available:
|
2020-09-14T15:02:56Z |
| Last updated:
|
2021-04-19 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/148352 |
| . |
| Reference:
|
[1] Bouabdelli, R., Belaïdi, B.: Results on shared values of entire functions and their homogeneous differential polynomials.Int. J. Difference Equ. 8 (2013), 3-14. MR 3040921 |
| Reference:
|
[2] Brück, R.: On entire functions which share one value CM with their first derivative.Result. Math. 30 (1996), 21-24. Zbl 0861.30032, MR 1402421, 10.1007/BF03322176 |
| Reference:
|
[3] Chen, Z.-X., Yang, C.-C.: Some further results on the zeros and growths of entire solutions of second order linear differential equations.Kodai Math. J. 22 (1999), 273-285. Zbl 0943.34076, MR 1700597, 10.2996/kmj/1138044047 |
| Reference:
|
[4] Hayman, W. K.: Meromorphic Functions.Oxford Mathematical Monographs. Clarendon Press, Oxford (1964). Zbl 0115.06203, MR 0164038 |
| Reference:
|
[5] Laine, I.: Nevanlinna Theory and Complex Differential Equations.De Gruyter Studies in Mathematics 15. Walter de Gruyter, Berlin (1993). Zbl 0784.30002, MR 1207139, 10.1515/9783110863147 |
| Reference:
|
[6] Li, X.-M., Yi, H.-X.: Some results on the regular solutions of a linear differential equation.Comput. Math. Appl. 56 (2008), 2210-2221. Zbl 1165.30357, MR 2466742, 10.1016/j.camwa.2008.03.046 |
| Reference:
|
[7] Li, X.-M., Yi, H.-X.: On the uniqueness of an entire function sharing a small entire function with some linear differential polynomial.Czech. Math. J. 59 (2009), 1039-1058. Zbl 1224.30144, MR 2563576, 10.1007/s10587-009-0073-8 |
| Reference:
|
[8] Mao, Z.: Uniqueness theorems on entire functions and their linear differential polynomials.Result. Math. 55 (2009), 447-456. Zbl 1182.30050, MR 2571207, 10.1007/s00025-009-0419-4 |
| . |
