کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
5774451 | 1413560 | 2017 | 15 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
All admissible meromorphic solutions of certain type of second degree second order algebraic ODEs
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
پیش نمایش صفحه اول مقاله

چکیده انگلیسی
Following the same idea of Halburd and Wang [9] to construct small functions of w and wâ² by using the first one or two terms in the local series expansion for w at zeros, we solve all the admissible meromorphic solutions of the second order algebraic differential equation wâ³wâwâ²2+awwâ²+bw2=αw+βwâ²+γ, where a,b are constants and α,β,γ are small meromorphic functions of w in the sense of Nevanlinna theory. These solutions can have infinite order as Hayman [11] has pointed out but still holds for his conjecture that T(r,w)â¤c1ec2rc, 0â¤r<+â when α,β,γ are rational functions, where c1,c2 and c are some positive constants.
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Journal of Mathematical Analysis and Applications - Volume 452, Issue 2, 15 August 2017, Pages 1182-1193
Journal: Journal of Mathematical Analysis and Applications - Volume 452, Issue 2, 15 August 2017, Pages 1182-1193
نویسندگان
Yueyang Zhang, Zongsheng Gao, Jilong Zhang,