We defined generalized Heaviside functions for a variable x in , and for variables (x,t) in . Then study properties such as: composition, invertibility, and association relation (the weak equality). This work is developed in the Colombeau generalized functions context.
Submitted November 1, 2011. Published June 4, 2012.
Math Subject Classifications: 46F30, 35G20.
Key Words: Generalized function; Heaviside function; distribution.
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| Francisco Villarreal |
Departamento de Matemática, FEIS-UNESP
15385-000, Ilha Solteira, S&atilce;o Pãulo, Brazil
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