Abstract
An existence and uniqueness theorem is established for the currents and voltages in a nonlinear time-varying countably infinite electrical network whose parameters are restricted to inductors and capacitors except possibly in certain branches, called joints, which are allowed to have any kind of electrical parameters. The LC form of the network allows the basic determining equation of the network to be obtained in normal form, and this in turn leads to substantially stronger results than those obtained in prior works. Similar results are obtained for linear time-varying RLC networks as well.
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