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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 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)
core

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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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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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
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Existence of zero-order meromorphic solutions of certain q-difference equations. [PDF]