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Numerical existence proof of five solutions for certain two-transistor circuit equations

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Abstract

In this paper, we are concerned with the analysis of two-transistor circuits. Applying technique for the numerical verification, we prove rigorously the existence of five solutions in a two-transistor circuit. The system of equations for a transistor circuit is obtained as nonlinear equations, therefore Krawczyk’s method is applied for proving the existence of a solution.

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Authors and Affiliations

  1. Faculty of Science and Engineering, Waseda University, 3-4-1 Okubo, Shinjuku-ku, 169-8555, Tokyo, Japan

    Yusuke Nakaya, Tetsuo Nishi & Shin’ichi Oishi

  2. Department of Electrical Engineering and Information Technology Dresden University of Technology, D-01062, Dresden, Germany

    Martin Claus

Authors
  1. Yusuke Nakaya
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  2. Tetsuo Nishi
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  3. Shin’ichi Oishi
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  4. Martin Claus
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Correspondence to Yusuke Nakaya.

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Nakaya, Y., Nishi, T., Oishi, S. et al. Numerical existence proof of five solutions for certain two-transistor circuit equations. Japan J. Indust. Appl. Math. 26, 327–336 (2009). https://doi.org/10.1007/BF03186538

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  • DOI: https://doi.org/10.1007/BF03186538

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