  The paper introduces and studies the notions of Lipschitzian and H\"olderian
full stability of solutions to three-parametric variational systems described
in the generalized equation formalism involving nonsmooth base mappings and
partial subgradients of prox-regular functions acting in Hilbert spaces.
Employing advanced tools and techniques of second-order variational analysis
allows us to establish complete characterizations of, as well as directly
verifiable sufficient conditions for, such full stability notions under mild
assumptions. Furthermore, we derive exact formulas and effective quantitative
estimates for the corresponding moduli. The obtained results are specified for
important classes of variational inequalities and variational conditions in
both finite and infinite dimensions.
