Results 21 to 30 of about 52 (39)

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  

Results on solutions of several systems of the product type complex partial differential difference equations

Demonstratio Mathematica
This article is devoted to exploring the solutions of several systems of the first-order partial differential difference equations (PDDEs) with product type u(z+c)[α1u(z)+β1uz1+γ1uz2+α2v(z)+β2vz1+γ2vz2]=1,v(z+c)[α1v(z)+β1vz1+γ1vz2+α2u(z)+β2uz1+γ2uz2]=1 ...
Liu Xiao Lan, Xu Hong Yan, Xu Yi Hui, Li Nan   +3 more
doaj   +1 more source

Enhancing blood glucose control through the fixed point theorem [PDF]

Diabetes is a chronic condition that poses significant health risks globally, arising from the body’s inability to effectively utilize insulin produced by the pancreas or insufficient insulin production.
Benahmadi, Lahbib, Chahid, Wafae, Lhous, Mustapha, Sakkoum, Ayoub, Toufga, Hamza   +4 more
core   +3 more sources

Solutions of several general quadratic partial differential-difference equations in ℂ2

Demonstratio Mathematica
In this article, we have introduced general transformation to solving the general quadratic equations. It is of interest to know about the existence and form of the solutions of general quadratic functional equations.
Ahamed Molla Basir, Mandal Sanju
doaj   +1 more source

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

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  

Hilbert-Schmidt Operators vs. Integrable Systems of Elliptic Calogero-Moser Type IV. The Relativistic Heun (van Diejen) Case [PDF]

, 2015
The 'relativistic' Heun equation is an 8-coupling difference equation that generalizes the 4-coupling Heun differential equation. It can be viewed as the time-independent Schrödinger equation for an analytic difference operator introduced by van Diejen ...
Simon N.M. Ruijsenaars
core   +2 more sources

On entire solutions of a type of system of complex differential-difference equations with k-th order derivatives

Open Mathematics
In this paper, we consider the entire solutions of the system of Fermat type differential-difference equations with k-th order derivatives(0.1)w1(k)(z)2+p1w2(z+c)2=Q1(z),w2(k)(z)2+p2w1(z+c)2=Q2(z), $$\begin{cases} {\left({w}_{1}^{\left(k\right)}\left(z ...
Zhang Ran-Ran, Chen Chuang-Xin, Liao Jian-Quan   +2 more
doaj   +1 more source

On Entire solutions of system of Fermat-type difference and partial differential-difference equations in $\mathbb{C}^n$

, 2022
The equation $f^n+g^n=1$, $n\in\mathbb{N}$ can be regarded as the Fermat Diophantine equation over the function field. In this paper we study the characterization of entire solutions of some system of Fermat type functional equations by taking $e^{g_1(z)}
Haldar, Goutam
core   +1 more source