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In this paper rstly all maximal accretive extensions of the minimal operator generated by a rst order linear singular quasi-dierential expression in the weighted Hilbert space of vector-functions on right semi-axis are described. Later on, the structure of spectrum set of these extensions has been researched.doi:10.15672/hjms.2017.488 fatcat:7c5t2brrv5bnfiecqxpq2uefc4