Results 11 to 20 of about 14,922,818 (371)
Advances in Difference Equations, 2017 We present some interesting facts connected with the following second-order difference equation: x n + 2 − q n x n = f n , n ∈ N 0 , $$x_{n+2}-q_{n}x_{n}=f_{n},\quad n\in \mathbb{N}_{0}, $$ where ( q n ) n ∈ N 0 $(q_{n})_{n\in\mathbb{N}_{0}}$ and ( f n )
Stevo Stević
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Note on the binomial partial difference equation
Electronic Journal of Qualitative Theory of Differential Equations, 2015 Some formulas for the "general solution" to the binomial partial difference equation $$c_{m,n}=c_{m-1,n}+c_{m-1,n-1},$$ are known in the literature. However, it seems that there is no such a formula on the most natural domain connected to the equation ...
Stevo Stevic
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The Beverton-Holt q-difference equation. [PDF]
J Biol Dyn, 2013 The Beverton–Holt model is a classical population model which has been considered in the literature for the discrete-time case. Its continuous-time analogue is the well-known logistic model.
Bohner M, Chieochan R.
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Existence Results for Nonlinear Fractional Difference Equation
Advances in Difference Equations, 2011 This paper is concerned with the initial value problem to a nonlinear fractional difference equation with the Caputo like difference operator. By means of some fixed point theorems, global and local existence results of solutions are obtained.
Luo Xiannan, Zhou Yong, Chen Fulai
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On the solutions of a higher‐order difference equation in terms of generalized Fibonacci sequences [PDF]
, 2016 This paper deals with the solutions, stability character, and asymptotic behavior of the difference equation xn+1=αβ+γxn−k;n∈N0, where N0=N∪0,α,β,γ,∈R∗+ and the initial values x−k,x−k + 1,…,x0 are nonzero real numbers, such that their solutions are ...
Yacine Halim, M. Bayram
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On a solvable nonlinear difference equation of higher order
Turkish Journal of Mathematics, 2018 In this paper we consider the following higher-order nonlinear difference equation xn = αxn−k + δxn−kxn−(k+l) βxn−(k+l) + γxn−l , n ∈ N0, where k and l are fixed natural numbers, and the parameters α , β , γ , δ and the initial values x−i , i = 1, k + l ,
D. T. Tollu, Y. Yazlık, N. Taskara
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The generalized hypergeometric difference equation
Demonstratio Mathematica, 2018 A difference equation analogue of the generalized hypergeometric differential equation is defined, its contiguous relations are developed, and its relation to numerous well-known classical special functions are demonstrated.
Bohner Martin, Cuchta Tom
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Transformations of Difference Equations I [PDF]
Advances in Difference Equations, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sonja Currie, Anne D. Love
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On a nonlinear second-order difference equation
Journal of Inequalities and Applications, 2022 We study a nonlinear second-order difference equation which considerably extends some equations in the literature. Our main result shows that the difference equation is solvable in closed form. Some applications of the main result are also given.
Stevo Stević +3 more
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Zero distribution of polynomials satisfying a differential-difference equation [PDF]
, 2013 In this paper we investigate the asymptotic distribution of the zeros of polynomials $P_{n}(x)$ satisfying a first order differential-difference equation.
Dominici, Diego, Van Assche, Walter
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