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