THE VALIDITY OF KIRCHHOFFS LAWS FOR A CLASS OF NONLINEAR TRANSFINITE NETWORKS

Authors
ZEMANIAN AH
Citation
Ah. Zemanian, THE VALIDITY OF KIRCHHOFFS LAWS FOR A CLASS OF NONLINEAR TRANSFINITE NETWORKS, IEEE transactions on circuits and systems. 1, Fundamental theory andapplications, 40(7), 1993, pp. 477-482
Citations number
5
Categorie Soggetti
Engineering, Eletrical & Electronic
Journal title
IEEE transactions on circuits and systems. 1, Fundamental theory andapplications → ACNP
ISSN journal
10577122
Volume
40
Issue
7
Year of publication
1993
Pages
477 - 482
Database
ISI
SICI code
1057-7122(1993)40:7<477:TVOKLF>2.0.ZU;2-9
Abstract
Kirchhoff's laws hold only sometimes in transfinite networks. For nonl inear networks, there are presently just a few preliminary results reg arding when they do hold. This work establishes more explicit and broa der conditions for their validity in nonlinear transfinite networks. I t also presents a fundamental theorem for the existence and uniqueness of the voltage-current regime in such a network. This theorem is dual to the one currently extant.