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.
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| Jean Mawhin |
Département de Mathématiques
Université Catholique de Louvain
B-1348 Louvain-la-Neuve, Belgium
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