Seventh Mississippi State - UAB Conference on Differential Equations and
Computational Simulations.
Electronic Journal of Differential Equations,
Conference 17 (2009), pp. 159-170. 

Title: Bounded solutions: Differential vs difference equations

Author: Jean Mawhin (Univ. Catholique de Louvain, Belgium)
 
Abstract: 
 We compare some recent results on bounded solutions (over $Z$) of  
 nonlinear difference  equations and systems to corresponding ones
 for nonlinear differential equations.  Bounded input-bounded output 
 problems, lower and upper solutions,  Landesman-Lazer conditions 
 and guiding functions techniques are considered.  

Published April 15, 2009.
Math Subject Classifications: 39A11, 39A12.
Key Words: Difference equations; bounded solutions; lower-upper solutions; 
           Landesman-Lazer conditions; guiding functions.