Conditional stability and asymptotic behavior of solutions of weakly delayed linear discrete systems in \(\mathbb{R}^2\)

DOI10.1155/2017/6028078zbMath1373.39011OpenAlexW2621842670WikidataQ59143235 ScholiaQ59143235MaRDI QIDQ2403888

J. Šafařík, Josef Diblík, Hana Halfarová

Publication date: 12 September 2017

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

Full work available at URL: https://doi.org/10.1155/2017/6028078

zbMATH Keywords

asymptotic behaviorconditional stabilitylinear discrete systems

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 (1)

Formulas for the general solution of weakly delayed planar linear discrete systems with constant coefficients and their analysis

Cites Work

• Boundedness of solutions of difference systems with delays
• Boundedness and stability of discrete Volterra equations
• Construction of the general solution of planar linear discrete systems with constant coefficients and weak delay
• Explicit general solution of planar linear discrete systems with constant coefficients and weak delays
• Representation of the solutions of linear discrete systems with constant coefficients and two delays
• General explicit solution of planar weakly delayed linear discrete systems and pasting its solutions
• Representation of solutions of discrete delayed system \(x(k+1)=Ax(k)+Bx(k-m)+f(k)\) with commutative matrices
• Some stability conditions for scalar Volterra difference equations
• Oscillation properties for a scalar linear difference equation of mixed type
• Unnamed Item
• Unnamed Item

This page was built for publication: Conditional stability and asymptotic behavior of solutions of weakly delayed linear discrete systems in \(\mathbb{R}^2\)