  This work deals with Lipschitz stability for a parametric version of the
general second order Ordinary Differential Equation (ODE) initial-value Cauchy
problem. We first establish a Lipschitz stability result for this problem under
a partial variation of the data. Then, we apply our abstract result to second
order differential equations governed by cocoercive operators. Furthermore, we
discuss more concrete applications of the stability for two specific applied
mathematical models inherent in electricity and control theory. Finally, we
provide numerical tests based on the software source Scilab, which are done
with respect to parametric linear control systems, illustrating henceforth the
validity of our abstract theoretical result.
