Results 1 to 10 of about 287 (158)
Global Dynamics, Boundedness, and Semicycle Analysis of a Difference Equation
Discrete Dynamics in Nature and Society, 2021 In this paper, we explore local stability, attractor, periodicity character, and boundedness solutions of the second-order nonlinear difference equation. Finally, obtained results are verified numerically.
Abdul Qadeer Khan, H. El-Metwally
semanticscholar +6 more sources
Journal of Mathematical Analysis and Applications, 2007 By making use of inclusion theorem, we show in this paper the existence of solutions with a single semicycle for a general second-order rational difference equation.
Xianyi Li
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Computers and Mathematics With Applications, 2005 In this paper, the rule for the lengths of positive and negative semicycles of nontrivial solutions of the following fourth-order rational difference equation,xn+1=xnbxn−2+xn−3b+axnb+xn−2xn−3b+a,n=0,1,2,…,where a, b ε [0, ∞) and the initial values x−3,x ...
Xianyi Li, Deming Zhu
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Global asymptotical stability of a second order rational difference equation
Computers and Mathematics With Applications, 2007 In this paper, we investigate the boundedness, invariant interval, semicycle and global attractivity of all positive solutions of the equation xn+1=α+γxn−1A+Bxn+Cxn−1,n=0,1,…, where the parameters α,γ,A,B,C∈(0,∞) and the initial conditions y−1,y0 are ...
Lin-Xia Hu, Wan-Tong Li, Hong-Wu Xu
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Global behavior of a higher order nonlinear difference equation
Journal of Mathematical Analysis and Applications, 2004 In this paper, we consider a higher order difference equation of the form x n + 1 = f ( x n , x n − k ) , n = 1 , 2 , 3 , … , under some certain assumptions. We obtain that the length of its finite semicycle is less than or equal to k.
Yong-Hong Fan, Wan-Tong Li
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Semicycles and correlated asymptotics of oscillatory solutions to second-order delay differential equations [PDF]
Journal of Mathematical Analysis and Applications, 2023 We obtain several new comparison results on the distance between zeros and local extrema of solutions for the second order delay differential equation \begin{equation*} x^{\prime \prime }(t)+p(t)x(t-\tau (t))=0,~~t\geq s\text{ }\ \end{equation*} where ...
Eric P. Braverman +2 more
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Demonstration of fast and accurate discrimination and quantification of chemically similar species utilizing a single cross-selective chemiresistor. [PDF]
Anal Chem, 2014 Performance characteristics of gas-phase microsensors will determine the ultimate utility of these devices for a wide range of chemical monitoring applications.
Vergara A +3 more
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Some Differential Inequalities on Time Scales and Their Applications to Feedback Control Systems [PDF]
, 2017 This paper deals with feedback control systems on time scales. Firstly, we generalize the semicycle concept to time scales and then establish some differential inequalities on time scales.
Yong-Hong Fan, Yang-Yang Yu, Linlin Wang
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Periodicity in a Class of Systems of Delay Difference Equations [PDF]
Journal of Applied Mathematics, 2011 We study a system of delay difference equations modeling four-dimensional discrete-time delayed neural networks with no internal decay. Such a discrete-time system can be regarded as the discrete analog of a differential equation with piecewise constant ...
Zhijian Wei
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Spatiotemporal gravity variations to look deep into the southern flank of Etna volcano
, 2010 A 14-year-long microgravity data set (October 1994 to September 2007) collected along a 24-km east-west trending profile of 19 stations was analyzed to detect underground mass redistributions related to the volcanic activity involving the southern flank ...
F. Greco +6 more
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