Boundedness and asymptotic behavior results for nonlinear difference equations with positive and negative coefficients

DOI10.1016/j.camwa.2010.08.046zbMath1221.39019OpenAlexW2021087990MaRDI QIDQ623193

Gengping Wei, Shen, Jianhua

Publication date: 13 February 2011

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.08.046

zbMATH Keywords

asymptotic behaviorboundednessLyapunov functionalnonlinear delay difference equationsLyapunov's direct method

Mathematics Subject Classification ID

Additive difference equations (39A10) Growth, boundedness, comparison of solutions to difference equations (39A22) Stability theory for difference equations (39A30)

Related Items (2)

Observable state space realizations for multivariable systems ⋮ \(l^{p}\)-solutions and stability analysis of difference equations using the Kummer's test

Cites Work

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• Global attractivity of neutral difference equations
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• Asymptotic formulae for the solutions of a linear delay difference equation
• Oscillation of delay difference equation
• Explicit conditions for the oscillation of difference equations
• Stability of solutions of linear nonautonomous difference equations
• Global Attractivity in Nonlinear Delay Difference Equations
• Global stability of a linear nonautonomous delay difference equation¹
• Oscillations of delay difference equations in a critical state

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