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典型文献
On Entire Solutions of Two Certain Types of Non-Linear Differential-Difference Equations
文献摘要:
In this paper,we mainly investigate entire solutions of the following two non-linear differential-difference equations fn(z)+ωfn-1(z)f'(z)+f(k)(z+c)=p1eα12+p2eα2z,n≥5 and fn(z)+ωfn-1(z)f'(z)+q(z)f(k)(z+c)eQ(z)=p1eα12+p2eα2z,n≥4,where k≥0 is an integer,c,ω,p1,p2,α1,α2 are non-zero constants,q(z)is a non-vanishing polynomial and Q(z)is a non-constant polynomial.Under some additional hypotheses,we analyze the existence and expressions of transcendental entire solutions of the above equa-tions.
文献关键词:
作者姓名:
LI Jingjing;HUANG Zhigang
作者机构:
School of Mathematical Sciences,Suzhou University of Science and Technology,Suzhou 215009,Jiangsu
引用格式:
[1]LI Jingjing;HUANG Zhigang-.On Entire Solutions of Two Certain Types of Non-Linear Differential-Difference Equations)[J].武汉大学自然科学学报(英文版),2022(03):195-200
A类:
p1e,12+p2e,eQ
B类:
On,Entire,Solutions,Two,Certain,Types,Non,Linear,Differential,Difference,Equations,In,this,paper,we,mainly,investigate,entire,solutions,following,two,linear,differential,difference,equations,fn,+f,z+c,2z,+q,where,integer,are,zero,constants,vanishing,polynomial,Under,some,additional,hypotheses,analyze,existence,expressions,transcendental,above
AB值:
0.576045
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