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A Thomson's principle for infinite, nonlinear resistive networks


Authors: L. De Michele and P. M. Soardi
Journal: Proc. Amer. Math. Soc. 109 (1990), 461-468
MSC: Primary 94C05; Secondary 46N05
DOI: https://doi.org/10.1090/S0002-9939-1990-1014643-1
MathSciNet review: 1014643
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Abstract: Suppose $ \Gamma $ is an infinite resistive electrical network with resistors of the form (2). We prove an existence and uniqueness theorem for the current generated by external current sources by establishing the analogue of Thomson's principle in suitable modular sequence spaces.


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DOI: https://doi.org/10.1090/S0002-9939-1990-1014643-1
Keywords: Nonlinear, infinite electrical networks, flows, modular sequence spaces, minimum energy, currents
Article copyright: © Copyright 1990 American Mathematical Society

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