Résumé:
Understanding the growth and oscillation of solutions to differential equations, difference equations
and delay-differential equations, is crucial for predicting their behavior. Nevanlinna theory, with its
deep insight into the value distribution of meromorphic functions, provides a powerful framework
for analyzing the growth and oscillation of solutions to these equations. In this thesis, by using this
theory, we present some results regarding the growth and oscillation of solutions of linear differential
equations with analytic or meromorphic coefficients in the extended complex plane except at a finite
isolated point, we also discuss some results on the growth of solutions of linear difference equations
and linear delay-differential equations , in which the coefficients are meromorphic functions in the
complex plane.
