Boundedness of Solutions of Matrix Nonlinear Volterra Difference Equations

Boundedness of Solutions of Matrix Nonlinear Volterra Difference Equations

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 equa...

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Veröffentlicht in:Discrete Dynamics in Nature and Society 2002, Vol.2002 (1), p.19-22
Hauptverfasser: Gil′, Michael I., Medina, Rigoberto
Format: Artikel
Sprache:eng
Schlagworte:
Volterra difference equations
Boundedness
Estimates for solutions
Matrix
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Zusammenfassung: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.
ISSN:1026-0226
1607-887X
DOI:10.1080/10260220290013471