Asymptotic Behavior of Solutions for Nonlinear Volterra Discrete Equations
oleh: E. Messina, Y. Muroya, E. Russo, A. Vecchio
| Format: | Article |
|---|---|
| Diterbitkan: | Hindawi Limited 2008-01-01 |
Deskripsi
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.