@article{Feng2026, 
author = {Qiyuan Feng and Junfeng Xu},
title = {Some results for a certain class of nonlinear binomial differential equation},
year = {2026},
journal = {AIMS Mathematics},
volume = {11},
number = {3},
pages = {7098-7114},
keywords = {binomial differential equation, exponential polynomial, entire function, Wiman–Valiron theorem},
url = {https://www.sciopen.com/article/10.3934/math.2026292},
doi = {10.3934/math.2026292},
abstract = {In this paper, we study one class of nonlinear binomial differential equation     (  f  (  z  )      )          n        +  a  (      f          (      k      )        (  z  )      )          n        =      p          1            e                  λ                  1                    z        +      p          2            e                  λ                  2                    z        ,where    n  ,  k  ∈            N              +            ,    a,        p    i  , and        λ    i   are nonzero constants for    i  =  1  ,  2. Some results answer the previous conjecture given by Linkui Gao and Junyang Gao.}
}