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

Yusuke Nakaya; Tetsuo Nishi; Shin'ichi Oishi; Martin Claus

doi:10.1007/BF03186538

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

Yusuke Nakaya^*, Tetsuo Nishi, Shin'ichi Oishi, Martin Claus

^*Corresponding author for this work

School of Fundamental Science and Engineering

Research output: Contribution to journal › Article › peer-review

2 Citations (Scopus)

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.

Original language	English
Pages (from-to)	327-336
Number of pages	10
Journal	Japan Journal of Industrial and Applied Mathematics
Volume	26
Issue number	2-3
DOIs	https://doi.org/10.1007/BF03186538
Publication status	Published - 2009 Oct

Keywords

Existence of solution
Krawczyk's method
Nonlinear equations
Transistor circuit

ASJC Scopus subject areas

Engineering(all)
Applied Mathematics

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10.1007/BF03186538

Cite this

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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.",

keywords = "Existence of solution, Krawczyk's method, Nonlinear equations, Transistor circuit",

author = "Yusuke Nakaya and Tetsuo Nishi and Shin'ichi Oishi and Martin Claus",

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AU - Nakaya, Yusuke

AU - Nishi, Tetsuo

AU - Oishi, Shin'ichi

AU - Claus, Martin

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Y1 - 2009/10

N2 - 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.

AB - 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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KW - Krawczyk's method

KW - Nonlinear equations

KW - Transistor circuit

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ER -

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

Abstract

Keywords

ASJC Scopus subject areas

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