Results 21 to 30 of about 88 (55)

The space of monodromy data for the Jimbo-Sakai family of $q$-difference equations [PDF]

arXiv, 2020
We formulate a geometric Riemann-Hilbert correspondence that applies to the derivation by Jimbo and Sakai of equation $q$-PVI from ``isomonodromy'' conditions. This is a step within work in progress towards the application of $q$-isomonodromy and $q$-isoStokes to $q$-Painlev\'e.
arxiv  

A series of spectral gaps for the almost Mathieu operator with a small coupling constant [PDF]

arXiv, 2020
For the almost Mathieu operator with a small coupling constant, for a series of spectral gaps, we describe the asymptotic locations of the gaps and get lower bounds for their lengths. The results are obtained by analysing a monodromy matrix.
arxiv  

An exact renormalization formula for the Maryland model [PDF]

, 2013
We discuss the difference Schr\"odinger equation $\psi_{k+1}+\psi_{k-1}+\lambda \cot(\pi\omega k+\theta)\psi_k=E\psi_k$, $k\in\mathbb{Z}$, where $\lambda$, $\omega$, $\theta$ and $E$ are parameters. We obtain explicit renormalization formulas relating its solutions for large $|k|$ to solutions of the equation with new parameters $\lambda$, $\omega ...
arxiv   +1 more source

Solutions of complex equations with adomian decomposition method [PDF]

, 2017
In this study, first order linear complex differential equations have been solved with adomian decomposition method.Publisher's ...
Düz, Murat
core   +1 more source

Consistency around a cube property of Hirota's discrete KdV equation and the lattice sine-Gordon equation

, 2023
It has been unknown whether Hirota's discrete Korteweg-de Vries equation and the lattice sine-Gordon equation have the consistency around a cube (CAC) property. In this paper, we show that they have the CAC property.
Nakazono, Nobutaka
core  

Abstract book [PDF]

, 2015
Welcome at the International Conference on Differential and Difference Equations & Applications 2015. The main aim of this conference is to promote, encourage, cooperate, and bring together researchers in the fields of differential and difference ...

core   +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
doaj   +1 more source

Generations of solvable discrete-time dynamical systems [PDF]

, 2016
A technique is introduced which allows to generate -- starting from any solvable discrete-time dynamical system involving N time-dependent variables -- new, generally nonlinear, generations of discrete-time dynamical systems, also involving N time-dependent variables and being as well solvable by algebraic operations (essentially by finding the N zeros
arxiv   +1 more source

Doprinos otorinolaringologa prof. dr. sc. Ranka Mladine budućem stalnom postavu Hrvatskog muzeja medicine i farmacije HAZU [PDF]

, 2018
Na poticaj prof. dr. sc. Željka Poljaka, a uz potrebnu suglasnost aktualnog predstojnika ORL klinike KBC Zagreb, te posebice svesrdnim zalaganjem prof. dr. sc. Ranka Mladine, Hrvatski muzej medicine i farmacije HAZU je u 2016.
Tomislav Slavić
core   +1 more source

Higher-oder generalizations of the $A_6^{(1)}$- and $A_4^{(1)}$-surface type $q$-Painlev\'e equations

, 2023
In this paper, we construct higher-order generalizations of the $A_6^{(1)}$- and $A_4^{(1)}$-surface type $q$-Painlev\'e equations from the system of partial difference equations with the consistency around a cube property by periodic reduction. Moreover,
Nakazono, Nobutaka
core