  We mainly investigate the continuous dependence on parameters of nontrivial
solutions for a generalized poly-Laplacian system on the weighted finite graph
$G=(V, E)$. We firstly present an existence result of mountain pass type
nontrivial solutions when the nonlinear term $F$ satisfies the super-$(p, q)$
linear growth condition which is a simple generalization of those results in
[28]. Then we mainly show that the mountain pass type nontrivial solutions of
the poly-Laplacian system are uniformly bounded for parameters and the concrete
upper and lower bounds are given, and are continuously dependent on parameters.
Similarly, we also present the existence result, the concrete upper and lower
bounds, uniqueness, and dependence on parameters for the locally minimum type
nontrivial solutions. Subsequently, we present an example on optimal control as
an application of our results. Finally, we give a nonexistence result and some
results for the corresponding scalar equation.
