Asymptotic Behavior of a Linear Delay Difference Equation

DOI10.2307/2159571zbMath0751.39001OpenAlexW4247044732MaRDI QIDQ4005734

P. N. Vlahos, Rodney D. Driver, Gerasimos E. Ladas

Publication date: 27 September 1992

Full work available at URL: https://doi.org/10.2307/2159571

zbMATH Keywords

asymptotic behaviorcharacteristic equationlinear delay difference equationdominant real root

Mathematics Subject Classification ID

Additive difference equations (39A10)

Related Items

Convergence and uniform stability in a nonlinear delay difference system ⋮ Asymptotically ordinary linear Volterra difference equations with infinite delay ⋮ On the behavior of the solutions for linear autonomous mixed type difference equation ⋮ Asymptotic behaviour of the solutions of a nonautonomous linear delay difference system ⋮ Unbounded increasing solutions of a system of difference equations with delays ⋮ Global attractor of a coupled finite difference reaction diffusion system with delays. ⋮ Convergence to equilibria in recurrence equations ⋮ Asymptotic representation of the solutions of linear Volterra difference equations ⋮ The behavior of the solutions of periodic linear neutral delay difference equations ⋮ The behavior of solutions of linear Volterra difference equations with infinite delay ⋮ The asymptotic behavior of solutions of nonlinear second-order difference equations ⋮ On linear Volterra difference equations with infinite delay ⋮ On exponential dichotomy, Bohl--Perron type theorems and stability of difference equations ⋮ Asymptotic constancy in linear difference equations: limit formulae and sharp conditions ⋮ On the behavior of the solutions to periodic linear delay differential and difference equations ⋮ Oscillation Results on Linear Systems of Difference Equations ⋮ Asymptotic behaviour and stability to linear non-autonomous neutral delay difference equations ⋮ Asymptotic behavior of solutions of first order nonlinear delay difference equations ⋮ Stability criteria for parabolic type partial difference equations ⋮ Asymptotic behavior of a nonhomogeneous linear recurrence system ⋮ The limits of the solutions of a nonautonomous linear delay difference equation

Cites Work

• Unnamed Item
• Unnamed Item
• Stability and oscillation of neutral delay differential equations with piecewise constant argument
• [https://portal.mardi4nfdi.de/wiki/Publication:4043435 The Equation x � (t) = ax (t) + bx (t - τ) with "Small" Delay]