A new view of the \(l^p\)-theory for a system of higher order difference equations

DOI10.1016/j.camwa.2010.02.010zbMath1193.39001OpenAlexW1981995191MaRDI QIDQ988265

István Győri, László Horváth

Publication date: 26 August 2010

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2010.02.010

zbMATH Keywords

difference equationscompanion matrix\(l^p\) solutions

Mathematics Subject Classification ID

Growth, boundedness, comparison of solutions to difference equations (39A22) Linear difference equations (39A06)

Related Items

Existence of periodic solutions in a linear higher order system of difference equations, Asymptotic behaviour of the solutions of a nonautonomous linear delay difference system, On stability of delay difference equations with variable coefficients: successive products tests, \(l^{p}\)-solutions and stability analysis of difference equations using the Kummer's test, Asymptotic constancy in linear difference equations: limit formulae and sharp conditions, On linear difference equations for which the global periodicity implies the existence of an equilibrium, On some difference equations with exponential nonlinearity

Cites Work

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• Exponential stability of difference equations with several delays: recursive approach
• Nonlinear Volterra difference equations in space \(l^p\)
• Asymptotic behavior of recursions via fixed point theory
• Existence of complex ℓ₂solutions of linear delay systems of difference equations
• Stability and summability of solutions of difference equations