Boundedness of solutions of matrix nonlinear volterra difference equations

Michael I. Gil; Rigoberto Medina

doi:10.1080/10260220290013471

Boundedness of solutions of matrix nonlinear volterra difference equations

Michael I. Gil, Rigoberto Medina

Department of Mathematics

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

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 c₀- and l²-norms of solutions are derived.

Original language	English
Pages (from-to)	19-22
Number of pages	4
Journal	Discrete Dynamics in Nature and Society
Volume	7
Issue number	1
DOIs	https://doi.org/10.1080/10260220290013471
State	Published - 1 Dec 2002

Keywords

Boundedness
Estimates for solutions
Matrix
Volterra difference equations

ASJC Scopus subject areas

Modeling and Simulation

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

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10.1080/10260220290013471

Cite this

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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 c0- and l2-norms of solutions are derived.",

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AB - 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.

KW - Boundedness

KW - Estimates for solutions

KW - Matrix

KW - Volterra difference equations

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Boundedness of solutions of matrix nonlinear volterra difference equations

Abstract

Keywords

ASJC Scopus subject areas

UN SDGs

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