In this paper we develop a theory of nonlinear resistive infinite electrical networks in the framework of modular sequence spaces. After introducing the notion of network morphism, we show that currents in infinite networks can be approximated by currents in suitable finite networks. Rayleigh monotonicity law for nonlinear networks is studied in detail. Parabolic and hyperbolic networks are introduced and characterized in analogy to the linear case. © 1993 Kluwer Academic Publishers.

Soardi, P. (1993). Morphisms and currents in infinite nonlinear resistive networks. POTENTIAL ANALYSIS, 2(4), 315-347 [10.1007/BF01049393].

Morphisms and currents in infinite nonlinear resistive networks

SOARDI, PAOLO MAURIZIO
1993

Abstract

In this paper we develop a theory of nonlinear resistive infinite electrical networks in the framework of modular sequence spaces. After introducing the notion of network morphism, we show that currents in infinite networks can be approximated by currents in suitable finite networks. Rayleigh monotonicity law for nonlinear networks is studied in detail. Parabolic and hyperbolic networks are introduced and characterized in analogy to the linear case. © 1993 Kluwer Academic Publishers.
Articolo in rivista - Articolo scientifico
currents; Mathematics Subject Classifications (1991): Primary: 31C45, 94C15, Secondary: 46N99; modular sequence spaces; nonlinear laplacian; Nonlinear networks; Rayleigh law;
English
1993
2
4
315
347
none
Soardi, P. (1993). Morphisms and currents in infinite nonlinear resistive networks. POTENTIAL ANALYSIS, 2(4), 315-347 [10.1007/BF01049393].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/18355
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