Results 21 to 30 of about 14,922,818 (371)
On a Difference-Delay Equation
Journal of Mathematical Analysis and Applications, 2000 The behaviour of continuous real solutions \(f(t)\) to the equation \[ f(t)=a_1f(t+h_1) +a_2f(t+h_2) \] and its dependence on the real positive constants \(a_1,a_2, h_1,h_2\) is studied. Definite answers are given except in the case \(h_1/h_2\) is rational.
Davies, Roy O., Ostaszewski, A.J.
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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 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
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Dynamics of a Rational Difference Equation
Advances in Difference Equations, 2010 The main goal of the paper is to investigate boundedness, invariant intervals, semicycles, and global attractivity of all nonnegative solutions of the equation xn+1=(α+βxn+γxn-k)/(1+xn-k), n∈ℕ0, where the parameters
Wan-Tong Li, Lin-Xia Hu, Xiu-Mei Jia
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On a Max-Type Difference Equation
Discrete Dynamics in Nature and Society, 2007 We study the behaviour of the solutions of the following difference equation with the max operator: xn+1=max{1/xn,Axn−1}, n∈ℕ0, where parameter A∈ℝ and initial values x−1 and x0 are nonzero real numbers.
I. Yalçinkaya +2 more
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Some representations of the general solution to a difference equation of additive type
Advances in Difference Equations, 2019 The general solution to the difference equation xn+1=axnxn−1xn−2+bxn−1xn−2+cxn−2+dxnxn−1xn−2,n∈N0, $$x_{n+1}=\frac {ax_{n}x_{n-1}x_{n-2}+bx_{n-1}x_{n-2}+cx_{n-2}+d}{x_{n}x_{n-1}x_{n-2}},\quad n\in\mathbb{N}_{0}, $$ where a,b,c∈C $a, b, c\in\mathbb{C}$, d∈
Stevo Stević
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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
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A high order $q$-difference equation for $q$-Hahn multiple orthogonal polynomials [PDF]
, 2009 A high order linear $q$-difference equation with polynomial coefficients having $q$-Hahn multiple orthogonal polynomials as eigenfunctions is given. The order of the equation is related to the number of orthogonality conditions that these polynomials ...
Abramowitz M. +10 more
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On the dynamics of a five-order fuzzy difference equation
, 2017 Our aim in this paper is to investigate the existence and uniqueness of the positive solutions and the asymptotic behavior of the equilibrium points of the fuzzy difference equation xn+1 = Axn−1xn−2 D+Bxn−3 +Cxn−4 , n = 0, 1, 2, · · · , where xn is a ...
Changyou Wang +4 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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