Geodesic
On multiplication of generalized functions
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 36 (2006) no. 2, pp. 43-48.

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We construct a new space of generalized functions where correct operation of multiplication of generalized function on a regulated (in general discontinuous) function is defined. An ordinary differential equation with new generalized functions as coefficients is considered. 
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V. Ya. Derr; D. M. Kinzebulatov. On multiplication of generalized functions. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 36 (2006) no. 2, pp. 43-48. http://geodesic.mathdoc.fr/item/IIMI_2006_36_2_a9/

[1] Derr V. Ya., Kinzebulatov D. M., “Differentsialnye uravneniya s obobschennymi funktsiyami, dopuskayuschimi umnozhenie na razryvnye funktsii”, Vestn. Udm. un-ta, 2005, no. 1, 35–58

[2] Derr V. Ya., Kinzebulatov D. M., “Alfa-integral tipa Stiltesa”, Vestn. Udm. un-ta, 2006, no. 1, 41–65