Geodesic
On strong and weak operators on the space of regulated functions
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 35 (2006) no. 1, pp. 3-32

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Concepts of strong and weak operators on the space of regulated functions are defined. Solvability of equations $(\dot x,\varphi)\equiv(Fx,\varphi)$ with special strong and weak operators $F$ are proved. Explicit forms of continuous and regulated solutions are proved. 
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     author = {V. I. Rodionov},
     title = {On strong and weak operators on the space of regulated functions},
     journal = {Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta},
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V. I. Rodionov. On strong and weak operators on the space of regulated functions. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 35 (2006) no. 1, pp. 3-32. http://geodesic.mathdoc.fr/item/IIMI_2006_35_1_a0/