A survey: stability and boundedness of Volterra difference equations

Volterra difference equations arise in the modeling of many real phenomena. In this survey stability and boundedness problems of some Volterra nonlinear difference equations are investigated. Stability conditions and boundedness are formulated in terms of the characteristics of equations.

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Bibliographic Details
Published inNonlinear analysis Vol. 53; no. 7; pp. 861 - 928
Main Authors Kolmanovskii, V.B., Castellanos-Velasco, E., Torres-Muñoz, J.A.
Format Journal Article
LanguageEnglish
Published Oxford Elsevier Ltd 01.06.2003
Elsevier
Subjects
Asymptotic stability and boundedness
Comparison principle
Direct Liapunov method
Exact sciences and technology
Finite differences and functional equations
Mathematical analysis
Mathematics
Sciences and techniques of general use
Topology
Volterra equations
39A11
Direct Liapunov method
Comparison principle
Topology
Asymptotic stability and boundedness
Volterra equations
Non linear equation
Direct method
Asymptotic stability
Resolvent
Linear equation
Boundedness
Lypunov method
Difference equation
Volterra equation
Equation system
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Summary:Volterra difference equations arise in the modeling of many real phenomena. In this survey stability and boundedness problems of some Volterra nonlinear difference equations are investigated. Stability conditions and boundedness are formulated in terms of the characteristics of equations.
ISSN:0362-546X
1873-5215
DOI:10.1016/S0362-546X(03)00021-X