Difference equations of Volterra type and extension of Lyapunov's method. (1990)

• Record Type: Journal Article
• Authors: Zouyousefain, M.
• Is Part Of: Journal of applied mathematics and stochastic analysis. Volume 3:Number 3(1990)
• Page Start: 193
• Page End: 202
• Publication Date: 1990
• Subjects: asymptotic stability -- comparison method -- difference equations of Volterra type -- difference inequalities -- linearization method -- Lyapunov's method -- minimal classes of functions -- nonlinear equations -- scalar difference equation -- trivial solution -- uniform stability; Mathematical models -- Periodicals; Computer simulation -- Periodicals; Computer science -- Mathematics -- Periodicals; Computer science -- Mathematics; Computer simulation; Mathematical models; Applied Mathematics; Periodicals; Electronic journals; 519.22
• DOI: 10.1155/S1048953390000181
• Languages: English
• ISSNs: 1048-9533

Abstract

Abstract : In this paper, the stability properties of nonlinear difference equations of Volterra type is discussed. For this purpose some comparison Theorems are developed, then using these results the stability of the nonlinear difference equations of Volterra type is investigated.