Results 41 to 50 of about 1,849,805 (333)

On the Solutions of Systems of Difference Equations [PDF]

Advances in Difference Equations, 2008
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Yalcinkaya, Ibrahim, Cinar, Cengiz, Atalay, Muhammet   +2 more
openaire   +4 more sources

General solution to subclasses of a two-dimensional class of systems of difference equations

Electronic Journal of Qualitative Theory of Differential Equations, 2021
We show practical solvability of the following two-dimensional systems of difference equations $$x_{n+1}=\frac{u_{n-2}v_{n-3}+a}{u_{n-2}+v_{n-3}},\quad y_{n+1}=\frac{w_{n-2}s_{n-3}+a}{w_{n-2}+s_{n-3}},\quad n\in\mathbb{N}_0,$$ where $u_n$, $v_n,$ $w_n ...
Stevo Stevic
doaj   +1 more source

Closed-Form Solutions of a Nonlinear Rational Second-Order Three-Dimensional System of Difference Equations

Mathematics
In this paper, we investigate the behavior of solutions to a nonlinear system of rational difference equations of order two, defined by xn+1=xnyn−1yn(a+bxnyn−1),yn+1=ynzn−1zn(c+dynzn−1),zn+1=znxn−1xn(e+fznxn−1), where n denotes a nonzero integer; the ...
Messaoud Berkal, Taha Radwan, Mehmet Gümüş, Raafat Abo-Zeid, Karim K. Ahmed   +4 more
doaj   +1 more source

A system of difference equations with elliptic coefficients and Bethe vectors

, 1996
An elliptic analogue of the $q$ deformed Knizhnik-Zamolodchikov equations is introduced. A solution is given in the form of a Jackson-type integral of Bethe vectors of the XYZ-type spin chains.Comment: 20 pages, AMS-LaTeX ver.1.1 (amssymb), 15 figures in
A. Matsuo, B.-Y. Hou, B.L. Feigin, E. Date, E.K. Sklyanin, E.K. Skyanin, I.B. Frenkel, I.V. Cherednik, K. Aomoto, K. Hasegawa, L.A. Takhtajan, M. Jimbo, N.Yu. Reshetikhin, R.J. Baxter, T. Takebe, T. Takebe, Takashi Takebe   +16 more
core   +1 more source

Oscillation for System of Delay Difference Equations

Journal of Mathematical Analysis and Applications, 1999
Consider the system of difference equations \[ x_i(t)-x_i(t-\sigma) +\sum^l_{k=1} \sum^n_{j=1}p_{ijk} x_j(t-\tau_k)=0,\;i=1,2,\dots, n,\tag{*} \] where \(p_{ijk}\in\mathbb{R}\), \(\sigma\) and \(\tau_k\in (0,\infty)\), \(i,j=1,2, \dots, n\), \(k=1,2,\dots,l\).
Yan, Jurang, Zhang, Fengqin
openaire   +1 more source

The expressions and behavior of solutions for nonlinear systems of rational difference equations

Journal of Innovative Applied Mathematics and Computational Sciences, 2022
In this paper, we investigate the form of the solutions of the following systems of difference equations of second order xn+1xn+1==xnyn−1xn+yn,yn+1=xn−1ynxn+yn,xnyn−1xn−yn,yn+1=xn−1ynxn−yn,   n=0,1,...,xn+1=xnyn−1xn+yn,yn+1=xn−1ynxn+yn,xn+1=xnyn−1xn−yn,
Kholoud N. Alharbi, E. M. Elsayed
doaj  

Pulmonary Dysfunction Is Associated With Sleep Study Abnormalities in Children With Sickle Cell Disease: A Multicenter Study

Pediatric Blood &Cancer, EarlyView.
ABSTRACT Introduction Pulmonary dysfunction and sleep abnormalities are common in children with sickle cell disease (SCD) and are associated with worse clinical outcomes. Whether spirometry abnormalities are associated with polysomnography (PSG) findings remains unclear.
Ammar Saadoon Alishlash, Anis Rabbani Nourani, A. K. M. Fazlur Rahman, Dima Ezmigna, Tarig Ali‐Dinar   +4 more
wiley   +1 more source

Symmetries of Discrete Dynamical Systems Involving Two Species [PDF]

, 1998
The Lie point symmetries of a coupled system of two nonlinear differential-difference equations are investigated. It is shown that in special cases the symmetry group can be infinite dimensional, in other cases up to 10 dimensional.
D. Gómez-Ullate, Maeda S., Maeda S., P. Winternitz, S. Lafortune   +4 more
core   +3 more sources

Effects of the Fluid Replacement Method During Online Hemodiafiltration on the Solute Removal Performance and Biocompatibility Using the Asymmetric Cellulose Triacetate Membrane

Therapeutic Apheresis and Dialysis, EarlyView.
ABSTRACT Introduction Pre‐dilution online hemodiafiltration (Pre‐HDF) is predominantly used in Japan, whereas post‐dilution online HDF (Post‐HDF) is more common in Europe. An asymmetric cellulose triacetate (ATA) membrane may improve biocompatibility.
Kenji Sakurai, Yoshitaka Kurihara, Fumi Yamauchi, Hiromi Hosoya, Takeshi Saito   +4 more
wiley   +1 more source

Protein pyrophosphorylation by inositol pyrophosphates — detection, function, and regulation

FEBS Letters, EarlyView.
Protein pyrophosphorylation is an unusual signaling mechanism that was discovered two decades ago. It can be driven by inositol pyrophosphate messengers and influences various cellular processes. Herein, we summarize the research progress and challenges of this field, covering pathways found to be regulated by this posttranslational modification as ...
Sarah Lampe, Tanmay Kumar Mohanty, Rashna Bhandari, Dorothea Fiedler   +3 more
wiley   +1 more source