On a nonlinear generalized max-type difference equation

DOI10.1016/j.jmaa.2010.11.041zbMath1208.39014OpenAlexW2008215350MaRDI QIDQ624586

Stevo Stević

Publication date: 9 February 2011

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.11.041

zbMATH Keywords

bounded solutionsmax-type difference equation

Mathematics Subject Classification ID

Additive difference equations (39A10) Multiplicative and other generalized difference equations (39A20)

Related Items (68)

Long-term behavior of positive solutions of a system of max-type difference equations ⋮ Eventual periodicity of some systems of MAX-type difference equations ⋮ Stability of the zero solution of a family of functional-differential equations ⋮ Boundedness character of a fourth-order system of difference equations ⋮ Global behavior of the max-type difference equation \(x_n = \max \{\frac{1}{x_{n - m}}, \frac{A_n}{x_{n - r}}\}\) ⋮ Existence of bounded solutions of a class of neutral systems of functional differential equations ⋮ On positive solutions of some classes of max-type systems of difference equations ⋮ Max-type system of difference equations with positive two-periodic sequences ⋮ Dynamics of a family of two-dimensional difference systems ⋮ Behaviour of solutions of some linear functional equations at infinity ⋮ Asymptotically convergent solutions of a system of nonlinear functional differential equations of neutral type with iterated deviating arguments ⋮ On bounded continuously differentiable solutions with Lipschitz first derivatives of a system of functional differential equations ⋮ On some solvable difference equations and systems of difference equations ⋮ On some periodic systems of max-type difference equations ⋮ Boundedness character of the recursive sequence \(x_n=\alpha + \Pi_{j = 1}^k x_{n - j}^{a_j}\) ⋮ Periodic solution for a max-type fuzzy difference equation ⋮ A survey on max-type difference equations ⋮ Unique existence of bounded continuous solutions on the real line of a class of nonlinear functional equations with complicated deviations ⋮ On the difference equation \(x_{n}=x_{n-k} / (b+cx_{n-q}+\dots{ }+x_{n-k})\) ⋮ Global attractivity of a family of nonautonomous max-type difference equations ⋮ Unbounded increasing solutions of a system of difference equations with delays ⋮ On some solvable systems of difference equations ⋮ Study of the asymptotic behavior of the solutions of three systems of difference equations of exponential form ⋮ On a system of difference equations with period two coefficients ⋮ On the difference equation \(x_{n} = x_{n - 2}/(b_{n} + c_{n}x_{n - 1}x_{n - 2})\) ⋮ On a system of difference equations with maximum ⋮ On a third-order system of difference equations ⋮ On a class of nonautonomous max-type difference equations ⋮ On a third-order system of difference equations with variable coefficients ⋮ Asymptotic upper and lower estimates of a class of positive solutions of a discrete linear equation with a single delay ⋮ Solutions of a max-type system of difference equations ⋮ On some linear difference equations and inequalities with continuous argument ⋮ Existence of bounded solutions of some systems of nonlinear functional differential equations with complicated deviating argument ⋮ Unbounded solutions of the difference equation \(x_{n} = x_{n-l}x_{n-k} - 1\) ⋮ On a periodic system of difference equations ⋮ On the difference equation \(x_n = a_nx_{n-k}/(b_n + c_nx_{n-1} \cdots x_{n-k})\) ⋮ On continuous solutions of a class of systems of nonlinear functional difference equations with deviating argument ⋮ Bounded solutions of some systems of nonlinear functional differential equations with iterated deviating argument ⋮ Local existence of Lipschitz-continuous solutions of systems of nonlinear functional equations with iterated deviations ⋮ On the solutions of a max-type system of difference equations with period-two parameters ⋮ On a system of difference equations ⋮ Solutions of a system of functional differential equations in a right neighborhood of zero ⋮ On some systems of difference equations ⋮ On a solvable system of difference equations of \(k\)th order ⋮ On a system of difference equations of odd order solvable in closed form ⋮ On \(q\)-difference asymptotic solutions of a system of nonlinear functional differential equations ⋮ On a symmetric system of max-type difference equations ⋮ Periodic solutions to a third-order conditional difference equation over the integers ⋮ On the periodicity of a max-type rational difference equation ⋮ On the system of difference equations \(x_n = \frac{x_{n - 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