Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2024 MCQ for Proceedings of the American Mathematical Society is 0.85.

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A Thomson’s principle for infinite, nonlinear resistive networks
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by L. De Michele and P. M. Soardi
Proc. Amer. Math. Soc. 109 (1990), 461-468
DOI: https://doi.org/10.1090/S0002-9939-1990-1014643-1

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.
References
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Bibliographic Information
  • © Copyright 1990 American Mathematical Society
  • 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