Results 31 to 40 of about 2,105 (253)
Solvable three-dimensional system of higher-order nonlinear difference equations
, 2022 WOS:000916889600019In this work, we indicate three-dimensional system of difference equations (formula presented), where k and l are positive integers, the parameters (formula presented) and the initial values (formula presented), are non-zero real ...
Yazlık, Yasin, Kara, Merve
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On some classes of solvable systems of difference equations [PDF]
Advances in Difference Equations, 2019 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Stevo Stević +3 more
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Product-type system of difference equations with a complex structure of solutions
Advances in Difference Equations, 2017 The solvability of the following system of difference equations z n + 1 = α z n a w n b , w n + 1 = β w n − 2 c z n − 2 d , n ∈ N 0 , $$z_{n+1}=\alpha z_{n}^{a}w_{n}^{b},\qquad w_{n+1}=\beta w_{n-2}^{c}z_{n-2}^{d},\quad n\in {\mathbb {N}}_{0}, $$ where a
Stevo Stević
doaj +1 more source
On the discrete and continuous Miura chain associated with the sixth Painlev equation [PDF]
, 2000 A Miura chain is a (closed) sequence of differential (or difference) equations that are related by Miura or B\"acklund transformations. We describe such a chain for the sixth Painlev\'e equation (\pvi), containing, apart from \pvi itself, a Schwarzian ...
Hone, A. N. W. +8 more
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Solvability of a Three-Dimensional System of Nonlinear Difference Equations
Mathematical Sciences and Applications E-Notes, 2022 In this paper, we solve the following three-dimensional system of difference equationsxn=yn−4zn−5yn−1(an+bnzn−2xn−3yn−4zn−5),yn=zn−4xn−5zn−1(αn+βnxn−2yn−3zn−4xn−5),zn=xn−4yn−5xn−1(An+Bnyn−2zn−3xn−4yn−5), n∈N0,xn=yn−4zn−5yn−1(an+bnzn−2xn−3yn−4zn−5),yn=zn−4xn−5zn−1(αn+βnxn−2yn−3zn−4xn−5),zn=xn−4yn−5xn−1(An+Bnyn−2zn−3xn−4yn−5), n∈N0,where the sequences ...
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On a solvable system of difference equations of higher-order with period two coefficients [PDF]
, 2019 We show that the next difference equations system x_{n+1}=((a_{n}x_{n-k+1}y_{n-k})/(y_{n}-α_{n}))+β_{n+1}, y_{n+1}=((b_{n}y_{n-k+1}x_{n-k})/(x_{n}-β_{n}))+α_{n+1}, n∈N₀, where N₀=N∪{0}, the sequences (a_{n})_{n∈N₀}, (b_{n})_{n∈N₀}, (α_{n})_{n∈N₀},
Yazlık, Yasin, Kara, Merve
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On a three-dimensional solvable system of difference equations
TURKISH JOURNAL OF MATHEMATICS, 2020 In this paper we solve the following system of difference equations \begin{equation*} x_{n+1}=\dfrac{z_{n-1}}{a+by_nz_{n-1}},\quad y_{n+1}=\dfrac{x_{n-1}}{a+bz_nx_{n-1}},\quad z_{n+1}=\dfrac{y_{n-1}}{a+bx_ny_{n-1}},\quad n\in \mathbb{N}_{0} \end{equation*} where parameters $a, b$ and initial values $x_{-1},x_{0},y_{-1},y_{0},z_{-1},z_{0}$ are nonzero ...
Yacine HALIM +2 more
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Central nervous system (CNS) involvement in childhood acute lymphoblastic leukemia (ALL) is assessed by cell counting and cytomorphology from cerebrospinal fluid (CSF) and is used for treatment stratification worldwide. The ratio of “CNS2” patients in clinical trials ranges from 3% to 40%, with unclear prognostic significance ...
Laura Almási +14 more
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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 +4 more
wiley +1 more source
Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Introduction Patients requiring long‐term continuous renal replacement therapy (CRRT) generally have poor prognoses. This study evaluated whether adding continuous intravenous sodium infusion (cIVNa) is associated with improved hemodynamics and outcomes in patients undergoing long‐term CRRT for ≥ 7 days.
Akinori Yamaguchi +6 more
wiley +1 more source