Boundedness and Asymptotic Stability for the Solution of Homogeneous Volterra Discrete Equations. (15th February 2018)

• Record Type: Journal Article
• Authors: Messina, E.; Vecchio, A.
• Other Names: Kulenovic Mustafa R. S. Academic Editor.
• Is Part Of: Discrete dynamics in nature and society. Volume 2018(2018)
• Publication Date: 2018-02-15
• Subjects: System analysis -- Periodicals; Dynamics -- Periodicals; Chaotic behavior in systems -- Periodicals; Differentiable dynamical systems -- Periodicals; 003.05
• DOI: 10.1155/2018/6935069
• Languages: English
• ISSNs: 1026-0226

Abstract

Abstract : We consider homogeneous linear Volterra Discrete Equations and we study the asymptotic behaviour of their solutions under hypothesis on the sign of the coefficients and of the first- and second-order differences. The results are then used to analyse the numerical stability of some classes of Volterra integrodifferential equations.