Short Communications

Differential Equations

, Volume 48, Issue 8, pp 1174-1176

First online:

On the basis property of eigenfunctions of a singular second-order differential operator

  • O. V. BelyantsevAffiliated withMoscow State University
  • , I. S. LomovAffiliated withMoscow State University

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We consider the first boundary value problem for a singular differential operator of second order on an interval with transmission conditions at an interior point of the interval. We show that the system of eigenfunctions corresponding to this problem is complete in the space L 2(0, 1) and forms a Riesz basis in that space.