Asymptotic Behavior of Solutions for Nonlinear Volterra Discrete Equations
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...
Main Authors: | , , , |
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Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2008-01-01
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Series: | Discrete Dynamics in Nature and Society |
Online Access: | http://dx.doi.org/10.1155/2008/867623 |
Summary: | 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. |
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ISSN: | 1026-0226 1607-887X |