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

Mathematics

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