Convergence of solutions of nonhomogeneous linear difference systems with delays

DOI10.1007/s10440-008-9404-2zbMath1204.39003OpenAlexW2055234607MaRDI QIDQ973830

Huseyin Bereketoglu, Aydin Huseynov

Publication date: 26 May 2010

Published in: Acta Applicandae Mathematicae (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10440-008-9404-2

zbMATH Keywords

convergenceasymptotic constancymatrix solutionsystem of linear difference equations with delays

Mathematics Subject Classification ID

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

Related Items (11)

Sparse feedback stabilisation of linear delay systems by proximal gradient method ⋮ Initial functions defining dominant positive solutions of a linear differential equation with delay ⋮ Unbounded increasing solutions of a system of difference equations with delays ⋮ Asymptotic convergence of the solutions of a discrete equation with several delays ⋮ Unbounded solutions of the equation \(\dot y(t)=\sum_{i=1}^n\beta_i(t)[y(t-\delta_i)-y(t-\tau_i)\)] ⋮ Asymptotic convergence of solutions of a scalar \(q\)-difference equation with double delays ⋮ Asymptotic convergence of the solutions of a dynamic equation on discrete time scales ⋮ Existence of unbounded solutions of a linear homogenous system of differential equations with two delays ⋮ Asymptotic convergence of the solutions of a discrete equation with two delays in the critical case ⋮ Asymptotic constancy for a system of impulsive pantograph equations ⋮ Asymptotic convergence of the solutions of a discrete system with delays

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Delay differential equations: with applications in population dynamics
• Differential-difference equations
• Criteria for asymptotic constancy of solutions of functional differential equations
• A note on the convergence of the solutions of a linear functional differential equation
• Oscillatory and periodic solutions of impulsive differential equations with piecewise constant argument
• Theory of functional differential equations. 2nd ed
• Ordinary and delay differential equations
• Asymptotic representation of solutions of the equation \(\dot y(t)=\beta(t)[y(t)-y(t-\tau(t))\)]
• Asymptotic constancy for nonhomogeneous linear differential equations with unbounded delays
• Delay equations. Functional-, complex-, and nonlinear analysis
• Asymptotic constancy for systems of delay differential equations
• Oscillations of delay difference equations
• More on linear differential systems with small delays

This page was built for publication: Convergence of solutions of nonhomogeneous linear difference systems with delays