Boundedness and Periodicity of Volterra Systems of Difference Equations

DOI10.1080/10236199808808150zbMath0912.39006OpenAlexW2033696970MaRDI QIDQ4222133

Youssef N. Raffoul

Publication date: 25 May 1999

Published in: Journal of Difference Equations and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10236199808808150

zbMATH Keywords

periodic solutionbounded solution\(z\)-transformVolterra systems of difference equations

Mathematics Subject Classification ID

Additive difference equations (39A10) Discrete version of topics in analysis (39A12)

Related Items

General theorems for stability and boundedness for nonlinear functional discrete systems ⋮ Exponential Stability in Non-linear Difference Equations ⋮ Boundedness and Stability in Nonlinear Discrete Systems With Nonlinear Perturbation ⋮ Asymptotic properties of solutions to discrete Volterra type equations ⋮ Boundedness and asymptotic stability for the solution of homogeneous Volterra discrete equations ⋮ Asymptotic behavior of Volterra difference equations ⋮ Boundedness and stability of discrete Volterra equations ⋮ Some stability conditions for scalar Volterra difference equations ⋮ Stability and asymptoticity of Volterra difference equations: a progress report ⋮ Discretization scheme in Volterra integro-differential equations that preserves stability and boundedness ⋮ Uniform asymptotic stability in nonlinear Volterra discrete systems ⋮ Stability Properties of Linear Volterra Discrete Systems with Nonlinear Perturbation

Cites Work

• Liapunov functionals of convolution type
• Stability and periodic solutions of ordinary and functional differential equations
• Periodicity and stability of linear Volterra difference systems