Comparing Theories of Infinite Resistive 1-Networks |
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| Authors: | Calvert Bruce D. |
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| Affiliation: | (1) Department of Mathematics, University of Auckland, Private Bag 92019, Auckland, New Zealand |
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| Abstract: | Flanders' Hilbert space or finite power theory of infinite networks was extended to 1-networks by Zemanian. A new approach uses approximation by finite networks, a-priori bounds from no-gain properties, and Arzela–Ascoli, in a continuous function space. This paper compares, contrasts and reconciles these existence and uniqueness theories. |
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| Keywords: | Resistive 1-network Kirchhoff's current law Kirchhoff's voltage law. |
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