  We study the properties of 10D multiple D0-brane (mD0) system described by
recently proposed complete supersymmetric and $\kappa$-symmetric nonlinear
action which includes an arbitrary positive definite function ${\cal M}({\cal
H})$ of the relative motion Hamiltonian ${\cal H}$. First we show how the
action with a particular nonlinear ${\cal M}({\cal H})$ can be obtained from
the action for 11D multiple M-wave (multiple M0-brane or mM0) system. Then we
obtain the complete set of equations of motion of mD0 system with arbitrary
positive definite ${\cal M}({\cal H})$, perform a convenient gauge fixing,
solve the center of energy equations and establish an interesting
correspondence between the relative motion mD0 equations and the equations of
maximal supersymmetric SU(N) Yang-Mills theory (SYM). We show that this
correspondence does not imply a gauge equivalence but establishes a relation
between solutions of the system. In particular, it implies that all the
supersymmetric solutions of mD0 equations in its relative motion part coincide
with supersymmetric solutions of the SYM equations.
