Boundedness of Discrete Volterra Equations

Author: Crisci M.R.   Kolmanovskii V.B.   Russo E.   Smith A.H.L.  

Publisher: Academic Press

ISSN: 0022-247X

Source: Journal of Mathematical Analysis and Applications, Vol.211, Iss.1, 1997-07, pp. : 106-130

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Abstract

Investigation of the boundedness of the solutions of Volterra equations with discrete time by means of the direct Liapunov method and comparison theorems is performed. Boundedness conditions of solutions of some particular classes of equations are derived. Using such conditions, stability of Direct Quadrature methods for second kind Volterra equations is analyzed.