On the behaviour of the solutions of a second-order difference equation

DOI10.1155/2007/27562zbMath1180.39002OpenAlexW2079730166MaRDI QIDQ2478371

Stevo Stević, Leonid A. Gutnik

Publication date: 28 March 2008

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/116979

Mathematics Subject Classification ID

Additive difference equations (39A10)

Related Items (32)

Asymptotic behavior of the positive solutions of an exponential type system of difference equations ⋮ On the stability of some systems of exponential difference equations ⋮ On a class of difference equations with interlacing indices ⋮ On a class of higher-order difference equations ⋮ The boundedness character of two Stević-type fourth-order difference equations ⋮ Existence, uniqueness and attractivity of prime period two solution for a difference equation of exponential form ⋮ On an exponential-type fuzzy difference equation ⋮ On integer parts of the reciprocal remainders of some sums ⋮ On the system of two difference equations of exponential form: \(x_{n+1}=a+bx_{n-1}e^{-y_n}\), \(y_{n+1}=c+dy_{n-1}e^{-x_n}\). ⋮ Asymptotic expansions for the sequences of the modified discrete delay logistic model type ⋮ On the nonautonomous difference equation \(x_{n+1} = A_n + \frac{x^p_{n-1}}{x^q_n}\) ⋮ Asymptotic expansions for the recurrence xn+1=1n∑k=1nfxkk$$ {x}_{n+1}=\frac{1}{n}\sum \limits_{k=1}^nf\left(\frac{x_k}{k}\right) $$ ⋮ Study of the asymptotic behavior of the solutions of three systems of difference equations of exponential form ⋮ On a higher-order nonlinear difference equation ⋮ On a higher-order difference equation ⋮ Stability of equilibrium points of fractional difference equations with stochastic perturbations ⋮ Strictly increasing solutions of nonautonomous difference equations arising in hydrodynamics ⋮ On the max-type difference equation \(x_{n+1}=\max\{A/x_n,x_{n - 3}\}\) ⋮ Asymptotic dynamics of a difference equation with a parabolic equilibrium ⋮ General form of some rational recursive sequences ⋮ Quantitative bounds for positive solutions of a Stević difference equation ⋮ On a max-type and a min-type difference equation ⋮ On the difference equation \(X_{n+1} = \alpha + \frac{x_{n-1}}{x_n}\) ⋮ Boundedness character of a class of difference equations ⋮ Existence of monotone solutions of a difference equation ⋮ On the dynamics of the solutions of a biological model ⋮ On a system of difference equations including negative exponential terms ⋮ On a cyclic system of difference equations ⋮ On a conjecture for a higher-order rational difference equation ⋮ On a class of third-order nonlinear difference equations ⋮ On the recursive sequence \(x_{n+1}=A+(x_{n - 1}^p/x_n^q)\) ⋮ Semistability of two systems of difference equations using centre manifold theory

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