Results 71 to 80 of about 356 (101)

Results on solutions of several systems of the product type complex partial differential difference equations

Demonstratio Mathematica
This article is devoted to exploring the solutions of several systems of the first-order partial differential difference equations (PDDEs) with product type u(z+c)[α1u(z)+β1uz1+γ1uz2+α2v(z)+β2vz1+γ2vz2]=1,v(z+c)[α1v(z)+β1vz1+γ1vz2+α2u(z)+β2uz1+γ2uz2]=1 ...
Liu Xiao Lan, Xu Hong Yan, Xu Yi Hui, Li Nan   +3 more
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Infinite growth of solutions of second order complex differential equation

Open Mathematics, 2018
In this paper we study the growth of solutions of second order differential equation f′′ + A(z)f′ + B(z)f = 0. Under certain hypotheses, the non-trivial solution of this equation is of infinite order.
Zhang Guowei
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A study of solutions for several classes of systems of complex nonlinear partial differential difference equations in ℂ2

Demonstratio Mathematica
This article is devoted to describing the entire solutions of several systems of the first-order nonlinear partial differential difference equations (PDDEs).
Jiao Xin, Chen Yu Bin, Xu Hong Yan
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Study on solutions of the systems of complex product-type PDEs with more general forms in ℂ2

Open Mathematics
With the help of the Nevanlinna theory and the Hadamard factorization theory of meromorphic functions, we mainly give a description of the existence and the forms of the transcendental entire solutions of several product-type complex partial differential
Li Hong, Luo Zhao Sheng, Xu Hong Yan
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Solutions of several general quadratic partial differential-difference equations in ℂ2

Demonstratio Mathematica
In this article, we have introduced general transformation to solving the general quadratic equations. It is of interest to know about the existence and form of the solutions of general quadratic functional equations.
Ahamed Molla Basir, Mandal Sanju
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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