Construction of the general solution of planar linear discrete systems with constant coefficients and weak delay

DOI10.1155/2009/784935zbMath1167.39001OpenAlexW2003645744WikidataQ59248896 ScholiaQ59248896MaRDI QIDQ1026863

Denis Ya. Khusainov, Josef Diblík, Zdeněk Šmarda

Publication date: 6 July 2009

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

Full work available at URL: https://doi.org/10.1155/2009/784935

zbMATH Keywords

constant coefficientsgeneral solutionscharacteristic equationsplanar linear discrete systemsweak delay

Mathematics Subject Classification ID

Linear functional-differential equations (34K06) Additive difference equations (39A10) Discrete version of topics in analysis (39A12)

Related Items (8)

The roles of conic sections and elliptic curves in the global dynamics of a class of planar systems of rational difference equations ⋮ 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 ⋮ Explicit general solution of planar linear discrete systems with constant coefficients and weak delays ⋮ Boundedness and stability for discrete-time delayed neural network with complex-valued linear threshold neurons ⋮ General explicit solution of planar weakly delayed linear discrete systems and pasting its solutions ⋮ Asymptotic bounds for linear difference systems ⋮ Formulas for the general solution of weakly delayed planar linear discrete systems with constant coefficients and their analysis

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• On the asymptotics of solutions of delay dynamic equations on time scales
• Asymptotic estimates and exponential stability for higher-order monotone difference equations
• On matrix differential equations with several unbounded delays

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