Results 31 to 40 of about 156 (59)

Value distribution of meromorphic solutions of homogeneous and non-homogeneous complex linear differential-difference equations

Open Mathematics, 2016
In this paper, we investigate the value distribution of meromorphic solutions of homogeneous and non-homogeneous complex linear differential-difference equations, and obtain the results on the relations between the order of the solutions and the ...
Luo Li-Qin, Zheng Xiu-Min
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Six-vertex model and non-linear differential equations I. Spectral problem

, 2017
In this work we relate the spectral problem of the toroidal six-vertex model's transfer matrix with the theory of integrable non-linear differential equations.
Galleas, W.
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The description of entire solutions of complex PDEs and PDDEs

Demonstratio Mathematica
By utilizing the Hadamard factorization theory and Nevanlinna theory of meromorphic functions in Cn ${\mathbb{C}}^{n}$ , we mainly give some description of the solutions of complex partial differential equation (PDE) (auz1+buz2)(cuz1+duz2)=eg, $\left(a{u}
Wu Zhao Jun, Xu Hong Yan, Xuan Zu Xing
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On the Alienation of Multiplicative and Additive Functions

Annales Mathematicae Silesianae
Given S a semigroup. We study two Pexider-type functional equations fxy+gxy=fx+fy+gxgy,    x, y∈S,f\left( {xy} \right) + g\left( {xy} \right) = f\left( x \right) + f\left( y \right) + g\left( x \right)g\left( y \right), \;\;\;\;x,\;y \in S, and ...
Chakiri Mohamed, Chahbi Abdellatif, Elqorachi Elhoucien   +2 more
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The Stability of Subdivision Operator [PDF]

, 2001
We consider the univariate two-scale refinement equation. The paper analyzes the correlation between the existence of smooth compactly supported solutions of this equation and the convergence of the corresponding cascade algorithm/subdivision scheme.
Protassov, V. (Vladimir)
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The stability of subdivision operator at its fixed point [PDF]

, 2001
The paper analysis the correlation between the existence of smooth compactly supported solutions of the univariate two-scale refinement equation and the convergence of the corresponding cascade lgorithm/subdivision scheme.
Protassov, V. (Vladimir)
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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
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A direct proof of a theorem of K. Baron [PDF]

, 1995
In his work on the Gołąb-Schinzel equation, K. Baron shows a theorem concerning continuous complex-valued solutions, defined on thecomplex plane. In this note, we will give a direct proof of this theorem, which does not use the form of the general ...
Gebert, Holger
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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
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