Seventh Mississippi State - UAB Conference on Differential Equations and Computational Simulations. Electron. J. Diff. Eqns., Conference 17 (2009), pp. 159-170.

Bounded solutions: Differential vs difference equations

Jean Mawhin

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.

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Jean Mawhin
Département de Mathématiques
Université Catholique de Louvain
B-1348 Louvain-la-Neuve, Belgium
email: jean.mawhin@uclouvain.be

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