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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References
Calvert, B. D. and Zemanian, A. H.: ‘Operating points in infinite nonlinear networks approximated by finite networks’, Trans A.M.S. 352(1999), 753-780.
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Calvert, B.D. Comparing Theories of Infinite Resistive 1-Networks. Potential Analysis 14, 331–340 (2001). https://doi.org/10.1023/A:1011219101520
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DOI: https://doi.org/10.1023/A:1011219101520