  This work considers a second order impulsive coupled system of differential
equations with generalized jump conditions in half-line, which can depend on
the impulses of the unknown functions and their first derivatives. The
arguments apply the fixed point theory, Green's functions technique,
L^11-Carath\'eodory functions and sequences and Schauder's fixed point theorem.
The method is based on Carath\'eodory concept of functions and sequences,
together with the equiconvergence on infinity and on each impulsive moment, and
it allows to consider coupled fully nonlinearities and very general impulsive
functions.
