Results 21 to 28 of about 28 (28)

Some results about a special nonlinear difference equation and uniqueness of difference polynomial

Journal of Inequalities and Applications, 2011
In this paper, we continue to study a special nonlinear difference equation solutions of finite order entire function. We also continue to investigate the value distribution and uniqueness of difference polynomials of meromorphic functions.
Ding Jie, Zhu Taiying, Qi Jianming
doaj  

Functional Equations with an Anti-Endomorphism for Functions with Multidimensional Codomains

Annales Mathematicae Silesianae
Let S be a semigroup, ℍ be the skew field of quaternions, and ψ: S → S be an anti-endomorphism. We determine the general solution of the functional equation g(xy)-g(xψ(y))=2g(x)g(y),          x, y∈S,g\left( {xy} \right) - g\left( {x\psi \left( y \right)}
Ouhabi Ayoub, Zeglami Driss, Ayoubi Mohamed   +2 more
doaj   +1 more source

A Kannappan-Cosine Functional Equation on Semigroups

Annales Mathematicae Silesianae
In this paper we determine the complex-valued solutions of the Kannappan-cosine functional equation g(xyz0) = g(x)g(y) − f (x)f (y), x, y ∈ S, where S is a semigroup and z0 is a fixed element in S.
Jafar Ahmed, Ajebbar Omar, Elqorachi Elhoucien   +2 more
doaj   +1 more source

Cosine and Sine Addition and Subtraction Law with an Automorphism

Annales Mathematicae Silesianae
Let S be a semigroup. Our main results are that we describe the complex-valued solutions of the following functional equations g(xσ(y))=g(x)g(y)+f(x)f(y),x,y∈S,f(xσ(y))=f(x)g(y)+f(y)g(x),x,y∈S,\matrix{ {g\left( {x\sigma \left( y \right)} \right) = g ...
Aserrar Youssef, Elqorachi Elhoucien
doaj   +1 more source

On a Generalized Conjecture by Alzer and Matkowski

Annales Mathematicae Silesianae
We study a recent conjecture proposed by Horst Alzer and Janusz Matkowski concerning a bilinearity property of the Cauchy exponential difference for real-to-real functions. The original conjecture was affirmatively resolved by Tomasz Małolepszy.
Fechner Włodzimierz, Pierzchałka Marta, Smejda Gabriela   +2 more
doaj   +1 more source

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

On a conjecture of R. Brück and some linear differential equations. [PDF]

Springerplus, 2015
Xu HY, Yang LZ.
europepmc   +1 more source

Existence of entire solutions of some non-linear differential-difference equations. [PDF]

J Inequal Appl, 2017
Chen M, Gao Z, Du Y.
europepmc   +1 more source