This article is cited in 49 papers

On the Riesz basis property of the root functions in certain regular boundary value problems

N. B. Kerimov, Kh. R. Mamedov

M. V. Lomonosov Moscow State University

Abstract: The differential operator $ly=y''+q(x)y$ with periodic (antiperiodic) boundary conditions that are not strongly regular is studied. It is assumed that $q(x)$ is a complex-valued function of class $C^{(4)}[0,1]$ and $q(0)\ne q(1)$. We prove that the system of root functions of this operator forms a Riesz basis in the space $L_2(0,1)$.

UDC: 517.984

Received: 29.04.1996
Revised: 01.04.1998

DOI: 10.4213/mzm1430

 English version: Mathematical Notes, 1998, 64:4, 483–487

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