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Asymptotic Behavior of Solutions for Nonlinear Volterra Discrete Equations
Joint Authors
Messina, E.
Russo, E.
Muroya, Yoshiaki
Vecchio, Antonia
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-18, 18 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2008-05-07
Country of Publication
Egypt
No. of Pages
18
Main Subjects
Abstract EN
We consider nonlinear difference equations of unbounded order of the form xi=bi−∑j=0iai,jfi−j(xj), i=0,1,2,…, where fj(x) (j=0,…,i) are suitable functions.
We establish sufficient conditions for the boundedness and the convergence of xi as i→+∞.
Some of these conditions are interesting mainly for studying stability of numerical methods for Volterra integral equations.
American Psychological Association (APA)
Messina, E.& Muroya, Yoshiaki& Russo, E.& Vecchio, Antonia. 2008. Asymptotic Behavior of Solutions for Nonlinear Volterra Discrete Equations. Discrete Dynamics in Nature and Society،Vol. 2008, no. 2008, pp.1-18.
https://search.emarefa.net/detail/BIM-987836
Modern Language Association (MLA)
Messina, E.…[et al.]. Asymptotic Behavior of Solutions for Nonlinear Volterra Discrete Equations. Discrete Dynamics in Nature and Society No. 2008 (2008), pp.1-18.
https://search.emarefa.net/detail/BIM-987836
American Medical Association (AMA)
Messina, E.& Muroya, Yoshiaki& Russo, E.& Vecchio, Antonia. Asymptotic Behavior of Solutions for Nonlinear Volterra Discrete Equations. Discrete Dynamics in Nature and Society. 2008. Vol. 2008, no. 2008, pp.1-18.
https://search.emarefa.net/detail/BIM-987836
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-987836