Results 21 to 30 of about 13,830,771 (328)
A Difference Equation Model of Infectious Disease [PDF]
International Journal Bioautomation, 2022 In the context of so much uncertainty with coronavirus variants and official mandate based on seemingly exaggerated predictions of gloom from epidemiologists, it is appropriate to consider a revised model of relative simplicity, because there can be ...
Anthony Shannon +3 more
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On the Difference Equation xn+1=xnxn-k/(xn-k+1a+bxnxn-k)
Abstract and Applied Analysis, 2012 We show that the difference equation xn+1=xnxn-k/xn-k+1(a+bxnxn-k),n∈ℕ0, where k∈ℕ, the parameters a, b and initial values x-i, i=0,k̅ are real numbers, can be solved in closed form considerably extending the results in the literature.
Stevo Stević +3 more
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Bounded and periodic solutions to the linear first-order difference equation on the integer domain
, 2017 The existence of bounded solutions to the linear first-order difference equation on the set of all integers is studied. Some sufficient conditions for the existence of solutions converging to zero when n→−∞$n\to -\infty$, as well as when n→+∞$n\to+\infty$
S. Stević
semanticscholar +1 more source
Monotone iterative technique for a nonlinear fractional q-difference equation of Caputo type
, 2016 By establishing a comparison theorem and applying the monotone iterative technique combined with the method of lower and upper solutions, we investigate the existence of extremal solutions of the initial value problem for fractional q-difference equation
Guotao Wang +3 more
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Representation of solutions of a solvable nonlinear difference equation of second order
Electronic Journal of Qualitative Theory of Differential Equations, 2018 We present a representation of well-defined solutions to the following nonlinear second-order difference equation $$x_{n+1}=a+\frac{b}{x_n}+\frac{c}{x_nx_{n-1}},\quad n\in\mathbb{N}_0,$$ where parameters $a, b, c$, and initial values $x_{-1}$ and $x_0 ...
Stevo Stevic +3 more
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Hyers-Ulam stability of Pielou logistic difference equation
, 2017 We investigate Hyers-Ulam stability of the first order difference equation xi+1 = axi+b cxi+d , where ad− bc = 1, c 6= 0 and |a+ d| > 2. It has Hyers-Ulam stability if the initial point x0 lies in some definite interval of R.
Soon-Mo Jung, Y. Nam
semanticscholar +1 more source
On the discrete and continuous Miura Chain associated with the Sixth Painlevé Equation [PDF]
, 1999 A Miura chain is a (closed) sequence of differential (or difference) equations that are related by Miura or B\"acklund transformations. We describe such a chain for the sixth Painlev\'e equation (\pvi), containing, apart from \pvi itself, a Schwarzian ...
Ablowitz +25 more
core +3 more sources
On oscillatory first order neutral impulsive difference equations [PDF]
Mathematica Bohemica, 2020 We have established sufficient conditions for oscillation of a class of first order neutral impulsive difference equations with deviating arguments and fixed moments of impulsive effect.
Arun Kumar Tripathy +1 more
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Journal of Mathematical Analysis and Applications, 2001 AbstractIn this paper we study the existence of generalized invariants and the periodicity of the positive solutions of max equations,xn+1=maxan∏ni=n−k+1xi,bn∏ni=n−kxi,n=0,1,…,where an,bn are sequences of positive numbers, x−k,x−k+1,…,x0∈(0,∞) and k∈{2,3,…,}.
V Hatzifilippidis +1 more
openaire +2 more sources
Hyers-Ulam stability of elliptic Möbius difference equation
, 2017 The linear fractional map on the Riemann sphere with complex coefficients is called Möbius map. If satisfies , then is called elliptic Möbius map. Let be the solution of the elliptic Möbius difference equation for every . We show that the sequence on the
Y. Nam
semanticscholar +1 more source