Results 11 to 20 of about 1,140 (162)
Stability Analysis of a System of Exponential Difference Equations
Discrete Dynamics in Nature and Society, 2014 We study the boundedness character and persistence, existence and uniqueness of positive equilibrium, local and global behavior, and rate of convergence of positive solutions of the following system of exponential difference equations: xn+1=(α1+β1e-xn ...
Q. Din, K. A. Khan, A. Nosheen
doaj +1 more source
Asymptotic Stability for a Class of Nonlinear Difference Equations
Discrete Dynamics in Nature and Society, 2010 We study the global asymptotic stability of the equilibrium point for the fractional difference equation xn+1=(axn-lxn-k)/(α+bxn-s+cxn-t), n=0,1,…, where the initial conditions x-r,x-r+1,…,x1,x0 are arbitrary positive real numbers of the interval (0,α/2a)
Chang-you Wang +4 more
doaj +1 more source
Stability of Solutions for a Family of Nonlinear Difference Equations
Advances in Difference Equations, 2008 We consider the family of nonlinear difference equations: xn+1=(∑i=13fi(xn,…,xn−k)+f4(xn,…,xn−k)f5(xn,…,xn−k))/(f1(xn,…,xn−k)f2(xn,…,xn−k)+∑i=35fi(xn,…,xn−k)), n=0,1,…, where ...
Caihong Han, Hongjian Xi, Taixiang Sun
doaj +2 more sources
Stability and Stabilization of Impulsive Stochastic Delay Difference Equations
Discrete Dynamics in Nature and Society, 2010 When an impulsive control is adopted for a stochastic delay difference system (SDDS), there are at least two situations that should be contemplated. If the SDDS is stable, then what kind of impulse can the original system tolerate to keep stable?
Kaining Wu, Xiaohua Ding, Liming Wang
doaj +1 more source
Electronic Journal of Qualitative Theory of Differential Equations, 2017 In this paper we analyze the existence of bounded solutions for a nonlinear second-order neutral difference equation, which is more general than other equations of this type studied recently.
Gonzalo García
doaj +1 more source
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
Global Asymptotic Stability in a Class of Difference Equations
Advances in Difference Equations, 2008 We study the difference equation xn=[(f×g1+g2+h)/(g1+f×g2+h)](xn−1,…,xn−r), n=1,2,…, x1−r,…,x0>0, where f,g1,g2:(R+)r→R+ and h:(R+)r→[0,+∞) are all continuous functions, and min1≤i≤r{ui,1/ui ...
Jianqiu Cao +3 more
doaj +1 more source
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
wiley +1 more source
Global asymptotic stability of solutions of cubic stochastic difference equations
Advances in Difference Equations, 2004 Global almost sure asymptotic stability of solutions of some nonlinear stochastic difference equations with cubic-type main part in their drift and diffusive part driven by square-integrable martingale differences is proven under appropriate conditions ...
Schurz Henri, Rodkina Alexandra
doaj +2 more sources
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