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.

Boundedness and Asymptotic Stability for the Solution of Homogeneous Volterra Discrete Equations

Vecchio A
2018

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.
2018
Istituto Applicazioni del Calcolo ''Mauro Picone''
Volterra discrete equations
Volterra integro-differential equations
asymptotic analysis
stability
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14243/338984
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