Boundedness of solutions of matrix nonlinear volterra difference equations

Michael I. Gil' and Rigoberto Medina

Discrete Dynamics in Nature and Society, 2002, vol. 7, 1-4

Abstract:

Nonlinear discrete-time Volterra equations in a Euclidean space are considered. Conditions for the boundedness of solutions are established by virtue of recent estimates for the norm of the resolvent of Volterra operators. The conditions are formulated in the terms of coefficients of considered equations. In addition, estimates for the c 0 - and l 2 -norms of solutions are derived.

Date: 2002
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnddns:689703

DOI: 10.1080/10260220290013471

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