Results 41 to 50 of about 290,059 (256)
Solutions of the system ofmaximum difference equations
MANAS: Journal of Engineering, 2015 The behaviour and periodicity of the solutions of the following system of difference equations is examined (1) where the initial conditions are positive real numbers.
D. Şimşek, M. Eröz
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On the Periodicity and Solvability of Multi-Shift Three-Dimensional Difference Systems
AxiomsThis paper investigates the closed-form solvability and dynamical behavior of a class of nonlinear triangular difference systems with overlapping indices, emphasizing the role of coefficient symmetry and asymmetry in determining the qualitative behavior ...
Yasser Almoteri, Ahmed Ghezal
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Dynamics of a Higher-Order System of Difference Equations
Discrete Dynamics in Nature and Society, 2017 Consider the following system of difference equations: xn+1(i)=xn-m+1(i)/Ai∏j=0m-1xn-j(i+j+1)+αi, xn+1(i+m)=xn+1(i), x1-l(i+l)=ai,l, Ai+m=Ai, αi+m=αi, i,l=1,2,…,m; n=0,1,2,…, where m is a positive integer, Ai,αi, i=1,2,…,m, and the initial conditions ai ...
Qi Wang, Qinqin Zhang, Qirui Li
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Natural Killer Cells in Paediatric Soft Tissue Sarcomas: A Systematic Review
Pediatric Blood &Cancer, EarlyView.ABSTRACT Paediatric soft tissue sarcomas (pSTS) are a rare and heterogeneous group of malignant tumours arising in tissues of mesenchymal origin. The role of natural killer (NK) cells in pSTS remains poorly understood, with evidence fragmented across small preclinical studies and early‐phase clinical trials.
Raya Dean +7 more
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A note on general solutions to a hyperbolic-cotangent class of systems of difference equations
Advances in Difference Equations, 2020 Recently there has been some interest in difference equations and systems whose forms resemble some trigonometric formulas. One of the classes of such systems is the so-called hyperbolic-cotangent class of systems of difference equations.
Stevo Stević
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Pediatric supportive care clinical trials often involve multiple clinically important outcomes, complicating trial interpretation. Hierarchical composite endpoints (HCEs) provide a framework to integrate key outcomes according to clinical importance.
Willem H. Collier +11 more
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MathematicsThis paper presents a new analytical framework for studying a class of three-dimensional symmetric systems within the theory of difference equations, constituting a natural extension of structurally reducible models in one and two dimensions. Despite the
Yasser Almoteri, Ahmed Ghezal
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Invariants for Difference Equations and Systems of Difference Equations of Rational Form
Journal of Mathematical Analysis and Applications, 1997 The author consideres the system of difference equations \[ x_{n+1} = \frac{a_n y_n + A}{x_{n-1}}, \qquad y_{n+1} = \frac{b_n x_n + A}{y_{n-1}}, n = 0, 1,\dots\tag{1} \] where the coefficients \(\{a_n\}\) and \(\{b_n\}\) are periodic sequences of positive numbers of period 2 and \(A\) is a positive constant. Some invariants for system (1) are presented.
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Determining Parental Factors for Clinical Trial Attrition in Pediatric Acute Lymphoblastic Leukemia
Pediatric Blood &Cancer, EarlyView.ABSTRACT Background/Objectives Despite high enrollment rates on Children's Oncology Group (COG) protocols, attrition after initial consent is challenging, introducing bias and prolonging trial completion. While adult oncology literature has identified predictors of withdrawal, little is known about caregiver decision‐making for child participation in ...
Kimberly L. Stathas +3 more
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On a two-dimensional solvable system of difference equations
Electronic Journal of Qualitative Theory of Differential Equations, 2018 Here we solve the following system of difference equations $$x_{n+1}=\frac{y_ny_{n-2}}{bx_{n-1}+ay_{n-2}},\quad y_{n+1}=\frac{x_nx_{n-2}}{dy_{n-1}+cx_{n-2}},\quad n\in\mathbb{N}_0,$$ where parameters $a, b, c, d$ and initial values $x_{-j},$ $y_{-j}$, $j=
Stevo Stevic
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