Explicit general solution of planar linear discrete systems with constant coefficients and weak delays

DOI10.1186/1687-1847-2013-50zbMath1380.39002OpenAlexW2156222965WikidataQ59293857 ScholiaQ59293857MaRDI QIDQ1693507

Hana Halfarová, Josef Diblík

Publication date: 31 January 2018

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1847-2013-50

zbMATH Keywords

spectrumexplicit solutiondiscrete equationdimension of the solutions spaceweak delays

Mathematics Subject Classification ID

Discrete version of topics in analysis (39A12) Linear difference equations (39A06)

Related Items (9)

General \(k\)-dimensional solvable systems of difference equations ⋮ The roles of conic sections and elliptic curves in the global dynamics of a class of planar systems of rational difference equations ⋮ Iterative learning control for linear delay systems with deterministic and random impulses ⋮ Conditional stability and asymptotic behavior of solutions of weakly delayed linear discrete systems in \(\mathbb{R}^2\) ⋮ Two-parameters formulas for general solution to planar weakly delayed linear discrete systems with multiple delays, equivalent non-delayed systems, and conditional stability ⋮ General explicit solution of planar weakly delayed linear discrete systems and pasting its solutions ⋮ Solvability for second-order nonlocal boundary value problems with \(\dim(\ker M)=2\) ⋮ Formulas for the general solution of weakly delayed planar linear discrete systems with constant coefficients and their analysis ⋮ On a solvable symmetric and a cyclic system of partial difference equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Boundedness and asymptotic properties of solutions of some linear and sublinear delay difference equations
• On the difference equation \(x_{n}=x_{n-k} / (b+cx_{n-q}+\dots{ }+x_{n-k})\)
• On some solvable systems of difference equations
• On the difference equation \(x_{n} = x_{n - 2}/(b_{n} + c_{n}x_{n - 1}x_{n - 2})\)
• On a third-order system of difference equations
• On a third-order system of difference equations with variable coefficients
• The stability cone for a delay differential matrix equation
• Construction of the general solution of planar linear discrete systems with constant coefficients and weak delay
• Anti-Lyapunov method for systems of discrete equations
• An asymptotic result for some delay difference equations with continuous variable
• Representation of solutions of linear discrete systems with constant coefficients and pure delay
• Stability of a delay difference system
• On the asymptotics of solutions of delay dynamic equations on time scales
• Asymptotic estimates and exponential stability for higher-order monotone difference equations
• The stability and asymptotic properties of the  -methods for the pantograph equation
• On a system of difference equations

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