Alternative Proof of the Existence and Uniqueness Theorems for Nonlinear Resistive Circuit

Xiao Da-chuan

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Alternative Proof of the Existence and Uniqueness Theorems for Nonlinear Resistive Circuit

更新时间：2025-12-08

- Alternative Proof of the Existence and Uniqueness Theorems for Nonlinear Resistive Circuit
- Acta Electronica Sinica Issue 5, Pages: 91-94(1981)
- 作者机构：
  
  清华大学电机系
- 作者简介：
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- Published：1981
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[1]肖达川.非线性电阻电路解的存在性及唯一性定理的一种证明[J].电子学报,1981(05):91-94.

Xiao Da-chuan. Alternative Proof of the Existence and Uniqueness Theorems for Nonlinear Resistive Circuit[J]. Acta Electronica Sinica, 1981, (5): 91-94.
[1]肖达川.非线性电阻电路解的存在性及唯一性定理的一种证明[J].电子学报,1981(05):91-94. DOI：

Xiao Da-chuan. Alternative Proof of the Existence and Uniqueness Theorems for Nonlinear Resistive Circuit[J]. Acta Electronica Sinica, 1981, (5): 91-94. DOI：

摘要

本文重新证明了非线性电阻电路存在唯一解的两个定理。由于应用了着色边定理

可以方便地检验Palais定理中范数应满足的条件。

Abstract

Alterative proofs of two theorems concerning the existence and uniqueness of solutions for nonlinear resistive circuit are given. Colored branch theorem is used to facilitate the test of the condition which must be satisfied by norm.

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