Results 1 to 10 of about 151 (45)

On Cauchy-type functional equations

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2004, Issue 16, Page 847-859, 2004., 2004
consider the functional equationsG f (xty)dµ(t) = n=1 gi(x)hi(y), x, y ∈ G, where the functions f , {gi}, {hi}: G → C to be determined are bounded and continuous functions on G.
E. Elhoucien, M. Akkouchi
semanticscholar   +2 more sources

On the meromorphic solutions of some linear difference equations

open access: yesAdvances in Differential Equations, 2013
This paper is devoted to studying the growth of meromorphic solutions of some linear difference equations. We obtain some results on the growth of meromorphic solutions when most coefficients in such equations have the same order, which are supplements ...
Huifang Liu, Zhiqiang Mao
semanticscholar   +2 more sources

Uniqueness problems on entire functions that share a small function with their difference operators

open access: yesAdvances in Differential Equations, 2014
In this paper, we consider uniqueness problems on entire functions that share a small periodic entire function with their two difference operators and obtain some results.
Baoqin Chen, Sheng Li
semanticscholar   +2 more sources

Entire solutions of certain type of difference equations

open access: yesJournal of Inequalities and Applications, 2014
In this paper, we shall study the conditions regarding the existence of transcendental entire solutions of certain type of difference equations. Our results are either supplements to some results obtained recently, or are relating to the conjecture ...
Nana Liu   +3 more
semanticscholar   +2 more sources

Uniqueness of difference operators of meromorphic functions

open access: yesJournal of Inequalities and Applications, 2012
In this article, we investigate the uniqueness problems of difference operators of two meromorphic functions. Uniqueness of a meromorphic function fnand its difference operator with the same 1-points and poles is also proved.2000 Mathematics Subject ...
Baoqin Chen, Zong-Xuan Chen, Sheng Li
semanticscholar   +2 more sources

Meromorphic functions sharing small functions with their linear difference polynomials

open access: yesAdvances in Differential Equations, 2013
In this paper, we prove some results on the uniqueness of meromorphic functions sharing small functions CM with their linear difference polynomials. Examples are provided to show the existence of meromorphic functions satisfying the conditions of our ...
Sheng Li, Baoqin Chen
semanticscholar   +2 more sources

The solutions of one type q-difference functional system

open access: yesAdvances in Differential Equations, 2014
In this paper, we study the functional system on q-difference equations, our results can give estimates on the proximity functions and the counting functions of the solutions of q-difference equations system. This implies that solutions have a relatively
Yonglin Xu   +4 more
semanticscholar   +2 more sources

A class of functional equations associated with almost periodic functions [PDF]

open access: yes, 2021
In this paper we will get a class of functional equations involving a countable set of terms, summed by the well known Bochner–Fejér summation procedure, which are closely associated with the set of almost periodic functions.
Sepulcre, Juan Matias, Vidal, Tomás
core   +1 more source

Existence and growth of meromorphic solutions of some nonlinear q-difference equations

open access: yesAdvances in Differential Equations, 2013
In this paper, we investigate the existence of transcendental meromorphic solutions of order zero of some nonlinear q-difference equations and some more general equations.
X. Zheng, J. Tu
semanticscholar   +2 more sources

Why do Solutions of the Maxwell-Boltzmann Equation Tend to be Gaussians? A Simple Answer

open access: yesDocumenta Mathematica, 2017
The Maxwell-Boltzmann functional equation has recently attraction renewed interest since besides its importance in Boltzmann’s kinetic theory of gases it also characterizes maximizers of certain bilinear estimates for solutions of the free Schrödinger ...
D. Hundertmark, Young-Ran Lee
semanticscholar   +1 more source

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