Asymptotic convergence of the solutions of a discrete equation with several delays

DOI10.1016/j.amc.2011.11.023zbMath1302.39011OpenAlexW2000335287MaRDI QIDQ426576

Josef Diblík, Miroslava Ružičková, Zuzana Šutá

Publication date: 11 June 2012

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2011.11.023

zbMATH Keywords

critical caseseveral delaysasymptotic convergencediscrete equationsharp criterion

Mathematics Subject Classification ID

Linear functional-differential equations (34K06) Discrete version of topics in analysis (39A12) Linear difference equations (39A06)

Related Items (10)

Stability switches in linear delay difference equations ⋮ Asymptotic behavior of higher-order neutral advanced difference equations ⋮ On stability regions for some delay differential equations and their discretizations ⋮ An application of measures of noncompactness in the investigation of boundedness of solutions of second-order neutral difference equations ⋮ Unbounded increasing solutions of a system of difference equations with delays ⋮ Unbounded solutions of the equation \(\dot y(t)=\sum_{i=1}^n\beta_i(t)[y(t-\delta_i)-y(t-\tau_i)\)] ⋮ On a third-order system of difference equations with variable coefficients ⋮ Quasilinearization of the initial value problem for difference equations with ``maxima ⋮ Asymptotic constancy for a system of impulsive pantograph equations ⋮ Asymptotic convergence of the solutions of a discrete system with delays

Cites Work

• On the difference equation \(x_{n+1}=x_nx_{n-2}-1\)
• Asymptotic convergence of the solutions of a discrete equation with two delays in the critical case
• Global stability and asymptotics of some classes of rational difference equations
• Convergence of the solutions of the equation \(\dot y(t) = \beta(t)[y(t-\delta)-y(t-\tau)\) in the critical case]
• Convergence of solutions of nonhomogeneous linear difference systems with delays
• Asymptotic constancy in linear difference equations: limit formulae and sharp conditions
• Convergence of solutions for two delays Volterra integral equations in the critical case
• Convergence in asymptotically autonomous functional differential equations
• Asymptotic constancy for nonhomogeneous linear differential equations with unbounded delays
• Subdominant positive solutions of the discrete equation \(\Delta u(k+n)=-p(k)u(k)\).
• Asymptotic convergence criteria of solutions of delayed functional differential equations
• On oscillation of a food-limited population model with time delay
• Existence of positive solutions of discrete linear equations with a single delay
• More on linear differential systems with small delays
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