Résumé:
This thesis focuses on Nevanlinna's theory of difference and its applications in the study
of complex functional equations. We are interested in some problems related to the
growth of solutions of difference equations and also to differential difference equations
in general. The substance of these studies is found in the recent counterparts of
Nevanlinna's difference theory. The key result is the lemma of the logarithmic
derivative in difference form obtained recently by Halburd-Korhonen and Chiang-
Feng, independently.
