Results 31 to 40 of about 168,546,907 (282)
On linear implicit non-autonomous systems of difference equations
, 2002 This paper deals with the solvability of initial-value problems (IVPs) and multipoint boundary-value problems (MPBVPs) for linear implicit non-autonomous systems of difference ...
Du N.H., Loi L.C., Anh P.K.
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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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Parameter interval of positive solutions for a system of fractional difference equation
Advances in Difference Equations, 2020 This paper deals with a typical system of Caputo fractional difference equations. Using the Guo–Krasnosel’skii fixed point theorem, we find a parameter interval for which at least one positive solution of the system exists.
Kazem Ghanbari, Tahereh Haghi
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Dynamics and Solutions of Higher-Order Difference Equations
, 2023 The invariance method, known as Lie analysis, consists of finding a group of transformations that leave a difference equation invariant. This powerful tool permits one to lower the order, linearize and more importantly, obtain analytical solutions of ...
Mensah Folly-Gbetoula
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MathematicsThis paper presents an analytical investigation of a class of two-dimensional nonlinear discrete systems governed by bilinear difference equations. By leveraging the explicit representation theory for first-order bilinear recursions, we derive closed ...
Hashem Althagafi
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Pediatric Blood &Cancer, EarlyView.ABSTRACT Rates of cancer among adolescents and young adults (AYA), age 15–39 years, are increasing. Consequently, radiation oncologists are treating more AYAs who have diagnoses spanning both pediatric and adult practices. Compared to pediatric and older adult patients, AYAs face a unique set of challenges.
Hesham Elhalawani +7 more
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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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Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Introduction This study investigated the safety and efficacy of single‐needle Rheocarna therapy for chronic limb‐threatening ischemia (CLTI) with wounds. Methods Six patients with CLTI involving ulcers unresponsive to revascularization underwent single‐needle Rheocarna treatment.
Yasutaka Yamauchi +9 more
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Therapeutic Apheresis and Dialysis, EarlyView.ABSTRACT Background Patients with chronic kidney disease undergoing hemodialysis commonly experience reduced physical function, fatigue, poor sleep quality, and impaired health‐related quality of life. Intradialytic exercise has been proposed as a non‐pharmacological strategy to improve these outcomes.
Klebson da Silva Almeida +6 more
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On A System of Rational Difference Equation
Demonstratio Mathematica, 2014 Abstract In this paper, we study local asymptotic stability, global character and periodic nature of solutions of the system of rational difference equations given by xn+1= , yn=
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