Results 31 to 40 of about 304,833 (302)
On the dimension of systems of algebraic difference equations [PDF]
Advances in Applied Mathematics, 2021 28 pages, some corrections and more details added, mainly in Section ...
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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
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Hyers–Ulam Stability of a System of Hyperbolic Partial Differential Equations
, 2022 In this paper, we study Hyers–Ulam and generalized Hyers–Ulam–Rassias stability of a system of hyperbolic partial differential equations using Gronwall’s lemma and Perov’s ...
Daniela Marian +2 more
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MathematicsIn 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 +4 more
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Two-dimensional product-type system of difference equations solvable in closed form [PDF]
, 2016 A solvable two-dimensional product-type system of difference equations of interest is presented. Closed form formulas for its general solution are given.A solvable two-dimensional product-type system of difference equations of interest is presented ...
Stevič, Stevo +5 more
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, 2023 In this paper, a new approach for numerically solving the system of fractional integrodifferential equations is devised. To approximate the issue, we employ Vieta–Fibonacci polynomials as basis functions and derive the projection method for Caputo ...
Abdelkader Moumen +2 more
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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
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Background Sickle cell disease (SCD) is a chronic, inherited hemoglobinopathy that requires frequent hospitalization for disease‐related complications. Canadian data on inpatient care is limited. This study compared caregiver‐reported hospital experiences of children with SCD to those with cystic fibrosis (CF), a chronic, autosomal recessive ...
Hailey M. Zwicker +11 more
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Eigenvalue Characterization of a System of Difference Equations [PDF]
Nonlinear Oscillations, 2004 We consider the system of difference equations $$u_i (k) = \lambda \mathop \sum \limits_{\ell = 0}^N g_i (k,\ell )P_i (\ell ,u_1 (\ell ),u_2 (\ell ),...,u_n (\ell )), k \in \{ 0,1,...,T\} , 1 \leqslant i \leqslant n,$$ where λ > 0 and T ≥ N ≥ 0. Our aim is to determine the values of λ for which the above system has a constant-sign solution.
Agarwal, R.P. +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
wiley +1 more source