Boundedness character of a class of difference equations

DOI10.1016/j.na.2008.01.014zbMath1162.39011OpenAlexW1980699924MaRDI QIDQ2518124

Stevo Stević

Publication date: 13 January 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2008.01.014

zbMATH Keywords

boundednesspositive solutionscharacteristic polynomialunboundednessnonlinear difference equationspositive coefficientsmax-type equation

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Multiplicative and other generalized difference equations (39A20) Growth, boundedness, comparison of solutions to difference equations (39A22)

Related Items (56)

Asymptotic behavior of solutions of a system of \(q\)-functional-difference equations ⋮ 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 ⋮ On periodic solutions of a class of \(k\)-dimensional systems of Max-type difference equations ⋮ 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 ⋮ On a nonlinear second-order difference equation ⋮ On a generalized max-type difference equation from automatic control theory ⋮ Dynamics of a family of nonlinear delay difference equations ⋮ Dynamics of a family of two-dimensional difference systems ⋮ The boundedness character of two Stević-type fourth-order difference equations ⋮ On some periodic systems of max-type difference equations ⋮ Global attractivity of a family of max-type difference equations ⋮ Long-term behavior of solutions of the difference equation \(x_{n+1}=x_{n - 1}x_{n - 2} - 1\) ⋮ On the nonautonomous difference equation \(x_{n+1} = A_n + \frac{x^p_{n-1}}{x^q_n}\) ⋮ On a system of difference equations with period two coefficients ⋮ On a system of difference equations with maximum ⋮ On a class of nonautonomous max-type difference equations ⋮ Solutions of a max-type system of difference equations ⋮ On a class of difference equations with interlacing indices of the fourth order ⋮ Unbounded solutions of the difference equation \(x_{n} = x_{n-l}x_{n-k} - 1\) ⋮ On a higher-order nonlinear difference equation ⋮ Global behavior of two families of nonlinear symmetric difference equations ⋮ On a higher-order difference equation ⋮ On a system 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 a symmetric system of max-type difference equations ⋮ On a system of difference equations which can be solved in closed form ⋮ Periodic solutions to a third-order conditional difference equation over the integers ⋮ On the solutions of a system of difference equations with maximum ⋮ On the asymptotic behavior of a difference equation with maximum ⋮ Difference equations and nonexistence of solutions of an integral equation ⋮ Global stability of a max-type difference equation ⋮ On the difference equation \(x_{n+1}=x_nx_{n-2}-1\) ⋮ On the max-type difference equation \(x_{n+1}=\max\{A/x_n,x_{n - 3}\}\) ⋮ Global stability of some classes of higher-order nonlinear difference equations ⋮ Part-metric and its applications to cyclic discrete dynamic systems ⋮ Periodicity of a class of nonautonomous max-type difference equations ⋮ Boundedness character of positive solutions of a higher order difference equation ⋮ Quantitative bounds for positive solutions of a Stević difference equation ⋮ On a max-type difference inequality and its applications ⋮ Domains of undefinable solutions of some equations and systems of difference equations ⋮ On a max-type and a min-type difference equation ⋮ On a nonlinear second order system of difference equations ⋮ Global stability of a difference equation with maximum ⋮ On a cyclic system of difference equations ⋮ On a solvable system of rational difference equations ⋮ On the max-type equation \(x_{n+1}=\max \{\frac{A}{x_n},x_{n-2}\}\) ⋮ On a class of third-order nonlinear difference equations ⋮ On the recursive sequence \(x_{n+1}=A+(x_{n - 1}^p/x_n^q)\) ⋮ On the solutions of a max-type system of difference equations of higher order ⋮ Solvability of the class of two-dimensional product-type systems of difference equations of delay-type \((1,3,1,1)\) ⋮ On a product-type system of difference equations of second order solvable in closed form

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• On the eventual periodicity of with a period-four parameter
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• A global convergence result with applications to periodic solutions

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