Steady-state solutions in an algebra of generalized functions

DOI10.30755/NSJOM.GF14.06zbMath1460.46031arXiv1509.03796MaRDI QIDQ5278883

Todor D. Todorov

Publication date: 19 July 2017

Published in: Novi Sad Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1509.03796

zbMATH Keywords

generalized solutionGreen functionsuperconductivitySchwartz distributionsdistributional solutionKirchhoff lawsteady-state solutionColombeau algebra of generalized functionsordinary differential equation with constant coefficientslightninginfinitesimal numberlightning rodLRC-electrical circuit

Mathematics Subject Classification ID

Operations with distributions and generalized functions (46F10) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Laplace transform (44A10) Generalized functions for nonlinear analysis (Rosinger, Colombeau, nonstandard, etc.) (46F30) General theory for ordinary differential equations (34A99)

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