The asymptotic stability of difference equations

DOI10.1016/S0893-9659(99)00136-6zbMath0964.39013MaRDI QIDQ1972438

István Kovácsvölgyi

Publication date: 11 July 2001

Published in: Applied Mathematics Letters (Search for Journal in Brave)

zbMATH Keywords

asymptotic stabilitynonlinear difference equationlinear delay difference equation

Mathematics Subject Classification ID

Related Items (12)

Numerical Approximation of Neutral Differential Equations on Infinite Interval ⋮ Global stability and oscillation of a discrete annual plants model ⋮ Boundedness and asymptotic properties of solutions of some linear and sublinear delay difference equations ⋮ Stability of a linear nonautonomous difference equation with bounded delays ⋮ Stability of semi-autonomous difference equations ⋮ Qualitative analysis of discrete nonlinear delay survival red blood cells model ⋮ Periodic solutions, oscillation and attractivity of discrete nonlinear delay population model ⋮ Periodic solutions and global attractivity of a discrete delay host macroparasite model ⋮ Global asymptotic behavior of solutions of a forced delay difference equation ⋮ On exponential dichotomy, Bohl--Perron type theorems and stability of difference equations ⋮ State Delays Extraction in the Fractional-Order State-Space Model ⋮ Unique positive almost periodic solution for discrete nonlinear delay survival red blood cells model

Cites Work

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• A stability criterion for a neutral difference equation with delay
• Asymptotic behavior of solutions of first order nonlinear delay difference equations
• Asymptotic formulae for the solutions of a linear delay difference equation
• Stability of solutions of linear nonautonomous difference equations
• Global stability of a linear nonautonomous delay difference equation¹

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