Anti-Lyapunov method for systems of discrete equations

DOI10.1016/j.na.2004.03.030zbMath1065.39008OpenAlexW2032344729MaRDI QIDQ1881341

Josef Diblík

Publication date: 4 October 2004

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.2004.03.030

zbMATH Keywords

nonlinear systemretractionasymptotic behaviourbounded solution

Mathematics Subject Classification ID

Related Items (15)

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 ⋮ Representation of solutions of discrete delayed system \(x(k+1)=Ax(k)+Bx(k-m)+f(k)\) with commutative matrices ⋮ Ważewski type theorem for non-autonomous systems of equations with a disconnected set of egress points ⋮ A general version of the retract method for discrete equations ⋮ Bounded solutions of delay dynamic equations on time scales ⋮ Explicit general solution of planar linear discrete systems with constant coefficients and weak delays ⋮ Ważewski's method for systems of dynamic equations on time scales ⋮ Retract principle for neutral functional differential equations ⋮ General explicit solution of planar weakly delayed linear discrete systems and pasting its solutions ⋮ Representation of solutions of linear discrete systems with constant coefficients and pure delay ⋮ Asymptotic behavior of solutions of delayed difference equations ⋮ A topological approach to the existence of solutions for nonlinear differential equations with piecewise constant argument ⋮ Bounded solutions of nonlinear discrete equations ⋮ Ważewski theorem on time scales with a set of egress points that is not the whole boundary ⋮ Construction of the general solution of planar linear discrete systems with constant coefficients and weak delay

Cites Work

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• Permanence and viability
• Discrete retract principle for systems of discrete equations
• Asymptotic behaviour of solutions of systems of discrete equations via Liapunov type technique
• Asymptotic formulae for the solutions of a linear delay difference equation
• A new topological method for the study of asymptotic behavior of Caratheodory systems
• Viability theory

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