Resonant circuit with impulsively varying capacitance

The stability analysis of an circuit with a periodically impulsive capacitance variation is presented. As is well known, the solution of the classical problem of a cosine capacitance variation is given in the form of an infinite Hill\´s determinant. In contrast to this, the solution presented herein is obtained in closed form, which not only removes the necessity of restrictions on the magnitude of various circuit parameters, but also eliminates problems of convergence.