  This thesis work is focused on the study of millisecond pulsars in globular
cluster by using multi-wavelength observations obtained with radio and optical
telescopes. Radio observations have been used to search for and timing the
pulsars. While classical search routines are based on the analysis of single
and long time sequence of data, we present here an alternative method. This
method exploits the large amount of available archival radio data to search for
very faint pulsars by stacking all the daily power spectra. This method led to
the discovery of three new pulsars in the stellar system Terzan 5. Optical
observations have been exploited to search for millisecond pulsar optical
counterparts, whose emission is totally dominated by the companion stars. Six
new companion stars have been discovered, thus increasing by ~40% the total
number of companions identified in globular clusters. In particular, four
companions turned out to be He white dwarfs, as expected from the canonical
formation scenario. One companion turned out to be a very faint and
non-degenerate object, showing a strong variability which is likely the result
of a strong heating of the stellar side exposed to the pulsar injected flux.
Finally, one companion is a main-sequence star which shows a strong H{\alpha}
emission likely due to a low-level accretion probably from a residual disk.
This system can be located in an early evolutive stage, immediately preceding
the reactivation of an already re-accelerated pulsar. Furthermore, we
identified the companion star to a transient low-mass X-ray binary. Conclusion
are drawn in the final chapter, where the evolution of millisecond pulsars is
discussed and possible future developments are suggested.
