Discrete Dynamics in Nature and Society (Jan 2002)

Boundedness of solutions of matrix nonlinear volterra difference equations

  • Michael I. Gil',
  • Rigoberto Medina

DOI
https://doi.org/10.1080/10260220290013471
Journal volume & issue
Vol. 7, no. 1
pp. 19 – 22

Abstract

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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 c0- and l2-norms of solutions are derived.

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