• Journal of the Korean Institute of Telematics and Electronics
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• v.11 no.4
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• pp.19-24
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• 1974

An ungrounded inductance, necessary for construction of general type networks, is synthesized using two operational amplifiers and several passive elements. Through indefinite admittance matrix procedure. it is proved that the synthesized network is equivalent to an ungrounded pure inductance with a positive and a negative resistance in the parallel arms. A practical low-pass filter is made according to this synthesis method, and the resultant characteristic has been verified by means of IBM's simulation program ECAP (Electronic Circuit Analysis Program).

• The Pure and Applied Mathematics
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• v.16 no.2
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• pp.199-212
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• 2009

We investigate the multiplicity of the nontrivial periodic solutions for a class of the system of the nonlinear suspension bridge equations with Dirichlet boundary condition and periodic condition. We show that the system has at least two nontrivial periodic solutions by the abstract version of the critical point theory on the manifold with boundary. We investigate the geometry of the sublevel sets of the corresponding functional of the system and the topology of the sublevel sets. Since the functional is strongly indefinite, we use the notion of the suitable version of the Palais-Smale condition.