Existence of monotone solutions of a difference equation

DOI10.1155/2008/917560zbMath1160.39309OpenAlexW2031079390WikidataQ58644561 ScholiaQ58644561MaRDI QIDQ1009415

Taixiang Sun, Weizhen Quan, Hongjian Xi

Publication date: 1 April 2009

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

Full work available at URL: https://eudml.org/doc/129846

zbMATH Keywords

equilibriumnonlinear difference equationmonotone positive solutions

Mathematics Subject Classification ID

Additive difference equations (39A10)

Related Items (6)

On the solutions of a system of max-type difference equations ⋮ Global behavior of the difference equation \(x_{n+1}=(p+x_{n-1})/(qx_n+x_{n-1})\) ⋮ On the solutions of a max-type system of difference equations with period-two parameters ⋮ Strictly increasing solutions of nonautonomous difference equations arising in hydrodynamics ⋮ Quantitative bounds for positive solutions of a Stević difference equation ⋮ On the solutions of a max-type system of difference equations of higher order

Cites Work

• Unnamed Item
• Global stability and asymptotics of some classes of rational difference equations
• The difference equation \(x_{n+1}=\alpha + \frac {x_{n-k}}{\Sigma_{i=0}^{k-1} c_{i}x_{n-i}}\) has solutions converging to zero
• On the asymptotics of nonlinear difference equations
• Existence of monotone solutions of some difference equations with unstable equilibrium
• On the recursive sequence \(x_{n+1}=x_{n-1}/g(x_n)\)
• Convergence of solutions in a nonhyperbolic case.
• Monotonicity of solutions converging to a saddle point equilibrium
• Existence of nontrivial solutions of a rational difference equation
• On the behaviour of the solutions of a second-order difference equation
• Asymptotics of some classes of higher-order difference equations
• On positive solutions of a (\(k+1\))th order difference equation
• On monotone solutions of some classes of difference equations
• On convergence of a recursive sequence \(x_{n+1}= f(x_{n-1},x_n)\)
• On the solutions of a class of difference equations
• On the Recursive Sequencexⁿ⁺¹=
• Inclusion Theorems for Non-linear Difference Equations with Applications
• On the Recursive Sequence
• Short Note: On non-oscillatory solutions of the recursive sequence
• A note on positive non-oscillatory solutions of the difference equation

This page was built for publication: Existence of monotone solutions of a difference equation