We investigate the zero-temperature and the finite-temperature properties o
f the two-dimensional antiferromagnetic quantum spin system composed of the
s=1/2 and s=1 spins. The spin excitation spectrum as well as the thermodyn
amic quantities are computed by means of the Schwinger-boson mean-herd theo
ry. We discuss how the magnetic double structure with the gapful and the ga
pless excitations is generated, and apply the results systematically to the
Haldane gap system in a staggered magnetic held and also to the weakly cou
pled ferrimagnetic mixed-spin chains. It is confirmed that the results obta
ined are consistent with the experiments for the quasi-one-dimensional Hald
ane compounds R2BaNiO5.