Asymptotic behaviour of solutions of systems of discrete equations via Liapunov type technique

DOI10.1016/S0898-1221(03)00082-8zbMath1058.39001MaRDI QIDQ1827164

Josef Diblík

Publication date: 6 August 2004

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

zbMATH Keywords

Lyapunov techniqueAsymptotic behaviourDiscrete equations

Mathematics Subject Classification ID

Related Items (6)

Asymptotic behavior of solutions of systems of dynamic equations on time scales in a set whose boundary is a combination of strict egress and strict ingress points ⋮ Anti-Lyapunov method for systems of discrete equations ⋮ On local stability for a nonlinear difference equation with a non-hyperbolic equilibrium and fading stochastic perturbations ⋮ Representation of solutions of linear discrete systems with constant coefficients and pure delay ⋮ Existence of complex ℓ₂solutions of linear delay systems of difference equations ⋮ Asymptotic behavior of solutions of delayed difference equations

Cites Work

• Best possible Gronwall inequalities
• Discrete retract principle for systems of discrete equations
• A quantitative study on the stability of quadratic delay difference systems
• Periodic solutions of first order linear difference equations
• Asymptotic formulae for the solutions of a linear delay difference equation
• On the asymptotic behaviour of the solutions of an n-th order difference equation
• On the asymptotic behavior of a rational system of difference equations
• Stability of infinite delay difference systems
• Boundedness of infinite delay difference systems
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