Results 51 to 60 of about 66 (66)

Characterizations of transcendental entire solutions of trinomial partial differential-difference equations in ℂ2#

Demonstratio Mathematica
This study is devoted to exploring the existence and the precise form of finite-order transcendental entire solutions of second-order trinomial partial differential-difference equations L(f)2+2hL(f)f(z1+c1,z2+c2)+f(z1+c1,z2+c2)2=eg(z1,z2)L{(f)}^{2}+2hL(f)
Xu Hong Yan, Haldar Goutam
doaj   +1 more source

The description of entire solutions for some class of complex nonlinear partial differential equation (systems) in C2 ${\mathbb{C}}^{2}$

Demonstratio Mathematica
This article focuses on describing the entire solutions of complex nonlinear partial differential equation (systems) with two variables. Utilizing Nevanlinna theory along with the Hadamard factorization theory of meromorphic functions, we derive several ...
Chen Yu Bin, Jiao Xin, Xu Hong Yan
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Some results on value distribution concerning Hayman's alternative

Open Mathematics
In this article, we study the value distribution of meromorphic functions concerning Hayman’s alternative. We extend and improve some results due to Zhu [A far-reaching form of Hayman’s inequality; fixed points of meromorphic functions and their ...
Zhuang Xinyu, Zheng Ruilin, He Zhiying, Fang Mingliang   +3 more
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Existence of zero-order meromorphic solutions of certain q-difference equations. [PDF]

J Inequal Appl, 2018
Du Y, Gao Z, Zhang J, Zhao M.
europepmc   +1 more source

Computation of Nevanlinna characteristic functions derived from generating functions of some special numbers. [PDF]

J Inequal Appl, 2018
Araci S, Acikgoz M.
europepmc   +1 more source

Some results on uniqueness and higher order difference equations

Open Mathematics
In this article, we mainly study the solution of higher order difference equations. We solve some questions posed by Chen and Xu [Uniqueness on entire functions and their nth order exact differences with two shared values, Open Math. 18 (2020), no.
An Jia, Zhang Haiying, Wang Ge, Fang Mingliang   +3 more
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Entire functions sharing a small function with their two difference operators. [PDF]

Adv Differ Equ, 2017
Lü F, Wang Y, Xu J.
europepmc   +1 more source

Entire solutions of nonlinear differential-difference equations. [PDF]

Springerplus, 2016
Li C, Lü F, Xu J.
europepmc   +1 more source

Two results on the value distribution of meromorphic functions

Open Mathematics
In this article, we prove two results on the value distribution of meromorphic functions. Using the theorem of Yamanoi, the first result gives a precise estimation of the relationship between the characteristic function of a meromorphic function and its ...
Yang Degui, He Zhiying, Liu Dan
doaj   +1 more source

Symmetry reduction and exact solutions of two higher-dimensional nonlinear evolution equations. [PDF]

J Inequal Appl, 2017
Gu Y, Qi J.
europepmc   +1 more source