An Extension to an Algebraic Method for Linear Time-Invariant System and Network Theory: The full AC-Calculus

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Being inspired by phasor analysis in linear circuit theory, and its algebraic counterpart - the AC-(operational)-calculus for sinusoids developed by W. Marten and W. Mathis - we define a complex structure on several spaces of real-valued elementary functions. This is used to algebraize inhomogeneous linear ordinary differential equations with inhomogenities stemming from these spaces. Thus we deduce an effective method to calculate particular solutions of these ODEs in a purely algebraic way.
V1: documentclass IEEEtran, 6 pages, 1 figure. Re-release of the printed version, with some minor typographical errors corrected

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Classical Analysis and ODEs, Symbolic Computation, 34A05 (Primary); 26A09, 44A40, 68W30, 93C05, 94C05 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/138326

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0709.2935
 http://arxiv.org/abs/0709.2935
 Proceedings of the Fifth International Workshop on Symbolic Methods and Applications in Circuit Design, SMACD '98, Kaiserslautern, October 8-9, 1998; The SMACD Committee (Ed.); pp. 134-139; ISSN 1029-9505

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