scholarly journals Asymptotic behavior of solutions of nonlinear difference equations

2004 ◽  
Vol 129 (4) ◽  
pp. 349-359 ◽  
Author(s):  
Janusz Migda
Keyword(s):  
Asymptotic Behavior ◽  
Difference Equations ◽  
Asymptotic Behavior Of Solutions ◽  
Nonlinear Difference Equations

scholarly journals Asymptotic Behavior of Solutions for Nonlinear Volterra Discrete Equations

2008 ◽  
Vol 2008 ◽  
pp. 1-18 ◽  
Author(s):  
E. Messina ◽  
Y. Muroya ◽  
E. Russo ◽  
A. Vecchio
Keyword(s):  
Asymptotic Behavior ◽  
Numerical Methods ◽  
Integral Equations ◽  
Difference Equations ◽  
Sufficient Conditions ◽  
Volterra Integral Equations ◽  
Asymptotic Behavior Of Solutions ◽  
Nonlinear Difference Equations ◽  
Discrete Equations

We consider nonlinear difference equations of unbounded order of the formxi=bi−∑j=0iai,jfi−j(xj),  i=0,1,2,…,wherefj(x)  (j=0,…,i)are suitable functions. We establish sufficient conditions for the boundedness and the convergence ofxiasi→+∞. Some of these conditions are interesting mainly for studying stability of numerical methods for Volterra integral equations.

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