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We consider the nonselfadjoint Sturm-Liouville operator with regular but not strongly regular boundary conditions. We examine the basis property of the root function system of the mentioned operator.

We study the completeness property and the basis property of the root function system of the Sturm-Liouville operator defined on the segment 0, 1 . All possible types of two-point boundary conditions are considered.

In this paper, we study spectral problems for the Sturm-Liouville operator with arbitrary complexvalued potential q(x) and two-point boundary conditions. All types of mentioned boundary conditions are considered. We ivestigate in detail the completeness property and the basis property of the root function system.2000 Mathematics Subject Classification. 34L10.