DocumentCode
2614704
Title
Kirchhoff´s laws for nonlinear transfinite networks
Author
Zemanian, A.H.
Author_Institution
State Univ. of New York Stony Brook, NY, USA
fYear
1993
fDate
3-6 May 1993
Firstpage
2676
Abstract
Kirchhoff´s laws hold only sometimes in transfinite networks. For nonlinear networks there are presently just a few preliminary results regarding when they do hold. This work establishes more explicit and broader conditions for their validity in nonlinear transfinite networks. A fundamental theorem for the existence and uniqueness of the voltage-current regime in such a network is presented. This theorem is dual to the one currently extant
Keywords
Banach spaces; nonlinear network analysis; Kirchhoff´s laws; dual theorem; fundamental theorem; nonlinear transfinite networks; validity; voltage-current regime; Extremities; Joining processes; Mathematics; Sufficient conditions; Telephony; Terminology; Voltage;
fLanguage
English
Publisher
ieee
Conference_Titel
Circuits and Systems, 1993., ISCAS '93, 1993 IEEE International Symposium on
Conference_Location
Chicago, IL
Print_ISBN
0-7803-1281-3
Type
conf
DOI
10.1109/ISCAS.1993.394317
Filename
394317
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