Results 11 to 17 of about 17 (17)

On Transcendental Entire Solution of Fermat-Type Trinomial and Binomial Equations Under Restricted Hyper-Order

Annales Mathematicae Silesianae
In this paper we are focusing on finding the transcendental entire solution of Fermat-type trinomial and binomial equations, by restricting the hyper-order to be less than one.
Banerjee Abhijit, Sarkar Jhuma
doaj   +1 more source

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
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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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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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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
doaj   +1 more source

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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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
doaj   +1 more source