  In the present paper the ground state of a double orbitally degenerate model
at weak intra-atomic interaction is studied using the Green functions method.
Beside the diagonal matrix elements of electron-electron interactions the model
includes correlated hopping integrals and inter-atomic exchange interaction.
The influence of orbital degeneracy with Hund's rule coupling, correlated
hopping and inter-atomic direct exchange on the ferromagnetic ordering is
investigated. The expressions for ground state energy and magnetization, the
criterion of transition from paramagnetic to ferromagnetic ground state as
functions of the model parameters are obtained. The obtained results are
compared with some experimental data for magnetic materials.
